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Multiple Choice

Simplify the expression using exponent rules.

$\left(-5a^2\right)\left(3a^8\right)$

Simplify the expression using exponent rules.

$-\frac{12b^{11}}{4b^7}$

Rewrite the expression using exponent rules.

$\left(4x^2\right)^3$

Rewrite the expression using exponent rules.

$\left(\frac{3x^4}{y^{-2}}\right)^3$

In Exercises 1–14, write each number in decimal notation without the use of exponents. 3.8X10²

In Exercises 1–6, find the intersection of the sets. { 1, 2, 3, 4} ⋂ {2, 4, 5}

In Exercises 1–12, find each absolute value. |-7|

In the fraction 5/8, 5 is the numerator and 8 is the denominator.

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Textbook Question

The mixed number equivalent of the improper fraction 31/5 is 6(1/5).

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Textbook Question

In Exercises 1–12, find each absolute value. |4|

The reciprocal of 6/2 is 3/1.

453

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Textbook Question

Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set A ∩ B.

295

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Textbook Question

In Exercises 1–6, find the intersection of the sets. { a, b, c, d} ⋂ ∅

206

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Textbook Question

Fill in the blank(s) to correctly complete each sentence. In the expression 6^3, 6 is the ____ , and 3 is the ____ .

293

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Textbook Question

Identify the set { 1,1/3, 1/9 ,1/27, ....} as finite or infinite.

374

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Textbook Question

Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set A ∪ B.

316

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Textbook Question

In Exercises 1–12, find each absolute value. |-7.6|

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Textbook Question

In Exercises 1–14, write each number in decimal notation without the use of exponents. -7.16X10⁶

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Textbook Question

Which choice shows the correct way to write 16/24 in lowest terms? A. 16/24 = (8 + 8)/(8 + 16) =8/16 =1/2 B.16/24 =(4*4)/(4 *6) =4/6 C. 16/24 =(8*2)/(8*3) =2/3

304

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Textbook Question

Evaluate each expression. 0/7

336

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Textbook Question

Use set notation and write the elements belonging to the set {x | x is a natural number less than 6}.

299

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Textbook Question

Which fraction is not equal to 5/9? A. 15/27 B. 30/54 C. 40/74 D. 55/99

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Textbook Question

Evaluate each expression. 10^3

256

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Textbook Question

In Exercises 1–14, write each number in decimal notation without the use of exponents. 1.4X10⁰

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Textbook Question

Write each fraction in lowest terms. 8/16

255

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Textbook Question

Let U = {1, 2, 3, 4, 5} and A = {1, 2, 3}. Find A′.

274

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Textbook Question

Evaluate each expression. 2*5 - 10/12

343

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Textbook Question

Write each fraction in lowest terms. 4/12

248

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Textbook Question

Find {16, 18, 21, 50} ∩ {15, 16, 17, 18}.

242

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Textbook Question

In Exercises 1–14, write each number in decimal notation without the use of exponents. 7.9X10⁻¹

202

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Textbook Question

Evaluate each expression. |-4|

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Textbook Question

Find {16, 18, 21, 50} ∪ {15, 16, 17, 18}.

259

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Textbook Question

In Exercises 1–12, find each absolute value. |-√2|

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Textbook Question

Write each fraction in lowest terms. 16/20

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Textbook Question

Write each fraction in lowest terms. 90/150

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Textbook Question

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {4, 5, 6,...., 15}

448

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Textbook Question

Evaluate each expression. |-10|

255

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Textbook Question

In Exercises 1–12, find each absolute value. -|-2/5|

221

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Textbook Question

Write each fraction in lowest terms. 100/140

283

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Textbook Question

Evaluate each expression. |-15|

264

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Textbook Question

Write each fraction in lowest terms. 18/90

282

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Textbook Question

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {1, 1/2, 1/4, 1/8, ....}

310

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Textbook Question

Evaluate each expression. -|4/7|

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Textbook Question

State the name of the property illustrated: 3+17 = 17+3

501

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Textbook Question

In Exercises 1–14, write each number in decimal notation without the use of exponents. -6.00001X10¹⁰

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Textbook Question

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. √27

Write each fraction in lowest terms. 16/64

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Textbook Question

Evaluate each expression. -|7/2|

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Textbook Question

State the name of the property illustrated: (6 • 3) • 9 = 6 • (3 • 9)

302

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Textbook Question

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {x | x is a natural number greater than 11}

263

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Textbook Question

Evaluate each expression. -|-3|

256

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Textbook Question

In Exercises 15–30, write each number in scientific notation. 32,000

197

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Textbook Question

Use the product rule to simplify the expressions in Exercises 13–22. In Exercises 17–22, assume that variables represent nonnegative real numbers. √125x^2

335

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Textbook Question

Evaluate each expression. -|-12|

247

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Textbook Question

Determine whether each statement is true or false. |25| = |-25|

265

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Textbook Question

In Exercises 15–30, write each number in scientific notation. 638,000,000,000,000,000

186

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Textbook Question

Identify each set as finite or infinite. Then determine whether 10 is an element of the set. {x | x is a fraction between 8 and 9}

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Textbook Question

The formula C=5/9(F-32) expresses the relationship between Fahrenheit temperature, F, and Celsius temperature, C. In Exercises 17–18, use the formula to convert the given Fahrenheit temperature to its equivalent temperature on the Celsius scale. 50 °F

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Textbook Question

Write each improper fraction as a mixed number. 17/12

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Textbook Question

Write each improper fraction as a mixed number. 16/9

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Textbook Question

State the name of the property illustrated: (3 • 7) + (4 • 7) = (4 • 7) + (3 •7)

321

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Textbook Question

Determine whether each statement is true or false. |5+(-13) | = |5| + |-13|

307

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Textbook Question

A football was kicked vertically upward from a height of 4 feet with an initial speed of 60 feet per second. The formula h=4+60t-16t^2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to solve Exercises 19–20. What was the ball's height 2 seconds after it was kicked?

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Textbook Question

In Exercises 15–30, write each number in scientific notation. -317

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Textbook Question

Use set notation, and list all the elements of each set. {12, 13, 14,..., 20}

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Textbook Question

Write each improper fraction as a mixed number. 77/12

433

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Textbook Question

Determine whether each statement is true or false. |8-12| = |8| - |12|

261

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Textbook Question

In Exercises 21–28, find the intersection of the sets. {1,2,3,4}∩{2,4,5}

324

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Textbook Question

In Exercises 15–30, write each number in scientific notation. -5716

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Textbook Question

Use set notation, and list all the elements of each set. {1, 1/2, 1/4, ...., 1/32} .

509

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Textbook Question

Write each mixed number as an improper fraction. 2(3/5)

877

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Textbook Question

Determine whether each statement is true or false. |11| * |-6| = |-66|

270

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Textbook Question

Determine whether each statement is true or false. |-5| * |6| = |-5*6|

293

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Textbook Question

Use set notation, and list all the elements of each set. {17, 22, 27, .. , 47}

294

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Textbook Question

In Exercises 15–30, write each number in scientific notation. 0.0027

193

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Textbook Question

In Exercises 21–28, find the intersection of the sets. {s,e,t}∩{t,e,s}

Determine whether each statement is true or false. |-14| / |2| = |-14/2|

247

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Textbook Question

Use set notation, and list all the elements of each set. {74, 68, 62, ..., 38}

282

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Textbook Question

Evaluate each exponential expression: (-3)^3 (-2)^2

345

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Textbook Question

Use set notation, and list all the elements of each set. {x | x is a natural number greater than 8 and less than 15}

370

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Textbook Question

In Exercises 15–30, write each number in scientific notation. -0.00000000504

192

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (4/5)*(6/7)

311

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Textbook Question

Evaluate each exponential expression: 2^(-4) + 4^(-1)

310

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Textbook Question

Use set notation, and list all the elements of each set. {x | x is a natural number not greater than 4}

511

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Textbook Question

Evaluate each exponential expression: 5^(-3) • 5

607

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (5/9)*(2/7)

285

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Textbook Question

Evaluate each exponential expression: (3^3)/(3^6)

350

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. 6 _____ {3, 4, 5, 6}

303

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Textbook Question

In Exercises 15–30, write each number in scientific notation. 0.007

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Textbook Question

In Exercises 21–28, find the intersection of the sets. {a,b,c,d}∩∅

339

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Textbook Question

Find each sum or difference. -6 + (-13)

223

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (3/20)*(5/21)

271

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Textbook Question

Simplify each exponential expression: (-2x^4y^3)^3

350

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. 5 ____ {4, 6, 8, 10}

294

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Textbook Question

In Exercises 15–30, write each number in scientific notation. 3.14159

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Textbook Question

Find each sum or difference. -15+6

229

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Textbook Question

Simplify each exponential expression: (-5x^3y^2)(-2x^(-11)y^(-2))

276

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (1/8)*(10/7)

250

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. 13 _____ {3, 5, 12, 14}

432

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Textbook Question

In Exercises 29–34, find the union of the sets. {1,3,5,7}∪{2,4,6,8,10}

354

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Textbook Question

Find each sum or difference. 13 + (-4)

277

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (3X10⁴)(2.1X10³)

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. 0 _____ {0, 2, 3, 4}

286

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. 0 _____ {0, 5, 6, 7, 8, 10}

276

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (21/8)*(4/7)

265

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Textbook Question

Find each sum or difference. -7/3 + 3/4

339

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (1.6X10¹⁵)(4X10⁻¹¹)

207

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Textbook Question

Write each number in decimal notation: 7.45*10^(-5)

295

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Textbook Question

In Exercises 29–34, find the union of the sets. {e,m,p,t,y} ∪ ∅

316

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Textbook Question

Write each number in scientific notation. 3,590,000

467

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Textbook Question

Find each sum or difference. -2.8 + 4.5

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Textbook Question

In Exercises 35–38, list all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. {-9, -4/5, 0, 0.25, √3, 9.2, √100}

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (6.1X10⁻⁸)(2X10⁻⁴)

223

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. {0} _____ {0, 1, 2, 5}

Multiply or divide as indicated. Write answers in lowest terms as needed. 3(1/4)*1(2/3)

267

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 2(2/3)*1(3/5)

383

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. {2} ____ {2, 4, 6, 8}

303

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Textbook Question

Perform the indicated operation and write the answer in decimal notation. (3*10^3)(1.3*10^2)

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. . 0 ____ ∅

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (4.3X10⁸)(6.2X10⁴)

170

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Textbook Question

Find each sum or difference. 4 - 9

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Textbook Question

In Exercises 35–38, list all numbers from the given set that are a. natural numbers, b. whole numbers, c. integers, d. rational numbers, e. irrational numbers, f. real numbers. {-11, -5/6, 0, 0.75, √5, π, √64}

401

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Textbook Question

In Exercises 33–38, find the union of the sets. { a, e, i, o, u } ⋃ ∅

198

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Textbook Question

Insert ∈ or ∉ in each blank to make the resulting statement true. ∅ ____ ∅

314

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (6/11)/(5/4)

315

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Textbook Question

Find each sum or difference. -6 - 5

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Textbook Question

Determine whether each statement is true or false. 3 ∈ {2, 5, 6, 8}

294

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 8.4X10⁸ / 4x10⁵

193

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (7/5)/(3/10)

262

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Textbook Question

Determine whether each statement is true or false. 6 ∈ {2, 5, 8, 9}

387

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 3.6X10⁴ / 9X10⁻²

202

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Textbook Question

Use the product rule to simplify the expressions in Exercises 41 - 44. In exercises 43 - 44, assume that variables represent nonnegative real numbers. √300

304

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Textbook Question

Find each sum or difference. 8 - (-13)

263

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Textbook Question

Determine whether each statement is true or false. 1 ∈ {11, 5, 4, 3, 1}

243

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (24/7)/(6/21)

283

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (3/4)/12

326

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 4.8X10⁻² / 2.4X10⁶

189

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Textbook Question

Determine whether each statement in Exercises 43–50 is true or false. -13 ≤ -2

323

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Textbook Question

Simplify each exponential expression in Exercises 23–64. (−3x^2 y^5)^2

332

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Textbook Question

Determine whether each statement is true or false. 9 ∉ {8, 5, 2, 1}

260

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Textbook Question

Find each sum or difference. -12.31 - (2.13)

276

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. (2/5)/30

290

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Textbook Question

Use the quotient rule to simplify the expressions in Exercises 45-46. √(121/4)

346

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Textbook Question

Determine whether each statement is true or false. {2, 5, 8, 9} = {2, 5, 9, 8}

281

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Textbook Question

Find each sum or difference. 9/10 - (-4/3)

277

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Textbook Question

Determine whether each statement is true or false. {3, 0, 9, 6, 2} = {2, 9, 0, 3, 6}

249

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 8/(4/9)

258

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Textbook Question

Find each sum or difference. |-8 - 6|

258

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Textbook Question

Determine whether each statement is true or false. {5, 8, 9} = {5, 8, 9, 0}

218

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 6(3/4)/(3/8)

410

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Textbook Question

Determine whether each statement in Exercises 43–50 is true or false. -π ≥ - π

280

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 480,000,000,000 / 0.00012

217

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Textbook Question

Simplify each exponential expression in Exercises 23–64. (−5x^4 y)(−6x^7 y^11)

317

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Textbook Question

Determine whether each statement is true or false. {x | x is a natural number less than 3}= {1, 2}

281

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Textbook Question

Find each sum or difference. -2 - |-4|

290

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Textbook Question

Determine whether each statement in Exercises 43–50 is true or false. 0 ≥ -6

304

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Textbook Question

In Exercises 31–50, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 0.00072x0.003 / 0.00024

199

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 2(1/2)/1(5/7)

355

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Textbook Question

Find each sum or difference. 16 - | -13|

254

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Textbook Question

Find each product or quotient where possible. -8(-5)

300

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. A ⊆ U

263

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Textbook Question

In Exercises 51–60, rewrite each expression without absolute value bars. |300|

450

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Textbook Question

In Exercises 51–58, solve each equation. Express the solution in scientific notation. (2X10⁻⁵)x = 1.2X10⁹

202

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Textbook Question

Multiply or divide as indicated. Write answers in lowest terms as needed. 2(5/8)/1(15/32)

330

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. C ⊆ U

259

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Textbook Question

Find each product or quotient where possible. 5(-7)

255

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Textbook Question

In Exercises 51–60, rewrite each expression without absolute value bars. |12 - π|

344

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Textbook Question

In Exercises 51–58, solve each equation. Express the solution in scientific notation. x / 2X10⁸ =-3.1X10⁻⁵

235

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Textbook Question

In Exercises 51–60, rewrite each expression without absolute value bars. |7 - π|

315

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed.2/9 + 5/9

278

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. D ⊆ A

261

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Textbook Question

Find each product or quotient where possible. 4(0)

241

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Textbook Question

In Exercises 51–58, solve each equation. Express the solution in scientific notation. x-(7.2X10¹⁸)=8.4X10¹⁸

234

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 7/12 + 1/12

278

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Textbook Question

Find each product or quotient where possible. 0(-8)

251

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. B ⊆ C

244

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Textbook Question

In Exercises 51–60, rewrite each expression without absolute value bars. -3/|-3|

342

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Textbook Question

In Exercises 51–58, solve each equation. Express the solution in scientific notation. (-1.2X10⁻³)x=(1.8X10⁻⁴)(2.4X10⁶)

223

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Textbook Question

Find each product or quotient where possible. -5/2 (-12/25)

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. ∅ ⊆ ∅

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Textbook Question

In Exercises 51–60, rewrite each expression without absolute value bars. ||-3|-|-7||

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Textbook Question

Find each product or quotient where possible. -3/8 (-24/9)

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Textbook Question

In Exercises 59–70, evaluate each exponential expression. (-10)^2

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. {0, 2} ⊆ D

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Textbook Question

In Exercises 61–66, evaluate each algebraic expression for x=2 and y=-5. |x+y|

366

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Textbook Question

In Exercises 59–70, evaluate each exponential expression. -10^2

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Textbook Question

Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. A ⊆ C

271

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Textbook Question

Find each product or quotient where possible. -0.5(-0.6)

266

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 3(1/8) + 2(1/4)

270

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Textbook Question

Insert ⊆ or s in each blank to make the resulting statement true. {2, 4, 6} ____ {2, 3, 4, 5, 6}

267

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Textbook Question

Evaluate each expression 16^(1/2)

396

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Textbook Question

In Exercises 59–70, evaluate each exponential expression. (-2)^3

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Textbook Question

Find each product or quotient where possible. -0.06(0.4)

240

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Textbook Question

In Exercises 61–66, evaluate each algebraic expression for x=2 and y=-5. |x|+|y|

313

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Textbook Question

Insert ⊆ or s in each blank to make the resulting statement true. {1, 5} ____ {0, 1, 2, 3, 5}

278

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Textbook Question

Insert ⊆ or s in each blank to make the resulting statement true. {0, 1, 2} ____ {1, 2, 3, 4, 5}

284

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Textbook Question

Evaluate each expression 125^(-1/3)

431

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 7/9-2/9

274

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Textbook Question

Find each product or quotient where possible. -14/2

276

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Textbook Question

In Exercises 59–70, evaluate each exponential expression. (-1)^4

200

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Textbook Question

In Exercises 65–76, write each number in decimal notation without the use of exponents. 9.2×10^2

339

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Textbook Question

Insert ⊆ or s in each blank to make the resulting statement true. {5, 6, 7, 8} ____ {1, 2, 3, 4, 5, 6, 7}

281

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 13/15 - 3/15

248

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Textbook Question

Find each product or quotient where possible. -24/-4

267

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Textbook Question

In Exercises 59–70, evaluate each exponential expression. (-1)^33

178

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Textbook Question

In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 2 and 17

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Textbook Question

Insert ⊆ or s in each blank to make the resulting statement true. ∅ ____ {1, 4, 6, 8}

282

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Textbook Question

Evaluate each expression 27^(-4/3)

477

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Textbook Question

Insert ⊆ or s in each blank to make the resulting statement true. ∅ ____ ∅

Add or subtract as indicated. Write answers in lowest terms as needed. 7/12 - 1/3

280

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Textbook Question

Find each product or quotient where possible. 100/-25

302

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Textbook Question

In Exercises 59–70, evaluate each exponential expression. - (-1/2)^3

192

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Textbook Question

In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. −2 and 5

359

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Textbook Question

Simplify using properties of exponents. [5x^(2/3)][4x^(1/4)]

372

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Textbook Question

Determine whether each statement is true or false. {5, 7, 9, 19} ∩ {7, 9, 11, 15} = {7, 9}

261

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Textbook Question

In Exercises 65–76, write each number in decimal notation without the use of exponents. −8.17×10^6

266

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 7/12-1/9

241

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Textbook Question

Find each product or quotient where possible. 0/-8

266

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Textbook Question

Determine whether each statement is true or false. [6, 12, 14, 16} ∪ {6, 14, 19} = {6, 14}

289

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Textbook Question

In Exercises 67–74, express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -26 and -3

314

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 4(3/4) - 1(2/5)

284

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Textbook Question

Find each product or quotient where possible. 5/0

261

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Textbook Question

In Exercises 65–76, write each number in decimal notation without the use of exponents. −3.14×10^−3

381

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Textbook Question

In Exercises 75–84, state the name of the property illustrated. 6+(−4)=(−4)+6

297

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Textbook Question

Determine whether each statement is true or false. {3, 5, 9, 10} ∩ ∅ = {3, 5, 9, 10}

285

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 8(2/9)-4(2/3)

522

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Textbook Question

Find each product or quotient where possible. -10/17 / (-12/5)

254

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Textbook Question

Determine whether each statement is true or false. {3, 5, 9, 10} ∪ ∅ = {3, 5, 9, 10}

265

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Textbook Question

Add or subtract as indicated. Write answers in lowest terms as needed. 7(5/12)-4(5/6)

338

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Textbook Question

In Exercises 65–76, write each number in decimal notation without the use of exponents. −7.00001×10^10

366

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Textbook Question

Determine whether each statement is true or false. {1, 2, 4} ∪ {1, 2, 4} = {1, 2, 4}

258

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Textbook Question

In Exercises 75–84, state the name of the property illustrated. 6+(2+7)=(6+2)+7

306

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Textbook Question

Find each product or quotient where possible. 12/13 / -4/3

298

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Textbook Question

In Exercises 77–86, write each number in scientific notation. 64,000

290

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Textbook Question

Find each product or quotient where possible. 7/6 / -2/3

272

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Textbook Question

Determine whether each statement is true or false. ∅ ∪ ∅ = ∅

264

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Textbook Question

In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

273

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Textbook Question

In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

257

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Textbook Question

In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

231

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Textbook Question

In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

285

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Textbook Question

In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths

291

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Textbook Question

Determine whether each statement is true or false. ∅ ∩ ∅ = ∅

291

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Textbook Question

In Exercises 75–84, state the name of the property illustrated. 7⋅(11⋅8)=(11⋅8)⋅7

310

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Textbook Question

In Exercises 77–86, write each number in scientific notation. 579,000,000,000,000,000

346

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Textbook Question

Write a decimal number that has 5 in the thousands place, 0 in the tenths place, and 4 in the ten-thousandths place.

291

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. M ∩ R

274

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Textbook Question

Evaluate each expression. -2^4

301

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Textbook Question

For the decimal number 46.249, round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

242

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Textbook Question

For the decimal number 46.249, round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

273

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Textbook Question

For the decimal number 46.249, round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

301

views

Textbook Question

For the decimal number 46.249, round to the place value indicated. (a) hundredths (b) tenths (c) ones or units (d) tens

291

views

Textbook Question

Round each decimal to the nearest thousandth. (a) 0.8 (line above 8) (b) 0.4 (line above 4) (c) 0.9762 (d) 0.8645

426

views

Textbook Question

Write 40,610,000 in scientific notation. (Section 1.7, Example 2)

193

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Textbook Question

Round each decimal to the nearest thousandth. (a) 0.8 (line above 8) (b) 0.4 (line above 4) (c) 0.9762 (d) 0.8645

282

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Textbook Question

Evaluate each expression. -3^5

260

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Textbook Question

In Exercises 77–86, write each number in scientific notation. −3829

295

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Textbook Question

Round each decimal to the nearest thousandth. (a) 0.8 (line above 8) (b) 0.4 (line above 4) (c) 0.9762 (d) 0.8645

272

views

Textbook Question

Round each decimal to the nearest thousandth. (a) 0.8 (line above 8) (b) 0.4 (line above 4) (c) 0.9762 (d) 0.8645

296

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Textbook Question

Evaluate each expression. (-2)^4

282

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Textbook Question

In Exercises 75–84, state the name of the property illustrated. 1/(x+3) (x+3)=1, x≠−3

348

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. M ∪ N

259

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Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.4

267

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Textbook Question

In Exercises 83–90, evaluate each expression without using a calculator. 36^(1/2)

296

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Textbook Question

Evaluate each expression. (-2)^6

249

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Textbook Question

In Exercises 77–86, write each number in scientific notation. 0.0083

300

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Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.6

282

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Textbook Question

Evaluate each expression. (-3)^5

263

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. M ∩ N

302

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Textbook Question

In Exercises 77–86, write each number in scientific notation. −0.00000000405

326

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Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.82

325

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Textbook Question

Evaluate each expression. (-2)^5

269

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Textbook Question

In Exercises 83–90, evaluate each expression without using a calculator. 27^(1/3)

464

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. N ∪ R

249

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Textbook Question

Evaluate each expression. -4 * 5³

282

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Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.104

257

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Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.043

272

views

Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. N′

309

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Textbook Question

Write each decimal as a fraction. (Do not write in lowest terms.) 0.087

268

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. Q′

259

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Textbook Question

Evaluate each expression. 9*3 - 16/4

268

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. M′ ∩ Q

256

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Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (6.1×10^−8)(2×10^−4)

292

views

Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. Q ∩ R′

259

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Textbook Question

Add or subtract as indicated. 25.32 + 109.2 + 8.574

255

views

Textbook Question

Evaluate each expression. (4-2³)(-2+√25)

285

views

Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (4.3×10^8)(6.2×10^4)

281

views

Textbook Question

In Exercises 91–100, simplify using properties of exponents. (20x^1/2)/(5x^1/4)

313

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. ∅ ∩ Q

260

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Textbook Question

Evaluate each expression. (5-3²)(√16-2³)

384

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. N ∪ ∅

235

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Textbook Question

Evaluate each expression. (-2/9 -1/4) - {-5/18 - (-1/2)}

277

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Textbook Question

Add or subtract as indicated. 28.73 - 3.12

259

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Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (8.4×10^8)/(4×10^5)

305

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Textbook Question

Add or subtract as indicated. 46.88 - 13.45

267

views

Textbook Question

Evaluate each expression. [-8+(-4)(-6)/12] / [4-(-3)]

298

views

Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (M ∩ N) ∪ R

250

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Textbook Question

Evaluate each expression. 15/5*4/6-8 / -6-(-5)-8/2

312

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Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (1.2×10^4)/(2×10^−2)

284

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Textbook Question

Add or subtract as indicated. 345.1 - 56.31

247

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (N ∪ R) ∩ M

315

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Textbook Question

Add or subtract as indicated. 3.87 + 15 + 2.9

276

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (R ∪ N) ∩ M′

276

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Textbook Question

Add or subtract as indicated. 32.56 + 47.356 + 1.8

252

views

Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (2.4×10^−2)/(4.8×10^-6)

297

views

Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. Q ∩ (M ∪ N)

254

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Textbook Question

Add or subtract as indicated. 75.2 + 123.96 + 3.897

254

views

Textbook Question

Add or subtract as indicated. 18 - 2.789

253

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. (U ∩ ∅′) ∪ R

260

views

Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. 282,000,000,000/0.00141

333

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. {x | x ∈ U, x ∉ M}

322

views

Textbook Question

Multiply or divide as indicated. 12.8 * 9.1

239

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. {x | x ∈ U, x ∉ R}

286

views

Textbook Question

In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (66,000×0.001)/(0.003×0.002)

303

views

Textbook Question

Multiply or divide as indicated. 34.04 * 0.56

241

views

Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. {x | x ∈ M and x ∈ Q}

258

views

Textbook Question

Multiply or divide as indicated. 22.41 * 33

251

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Textbook Question

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. {x | x ∈ M or x ∈ Q}

303

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Textbook Question

Multiply or divide as indicated. 0.07 * 0.004

285

views

Textbook Question

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Natural numbers

307

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Textbook Question

Multiply or divide as indicated. 78.65/11

251

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Textbook Question

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Integers

232

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Textbook Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. 6*12+6*15=6(12+15)

316

views

Textbook Question

Multiply or divide as indicated. 32.48/11.6

299

views

Textbook Question

Let A = { -6, - 12/4 , - 5/8 , - √3, 0, 1/4 , 1, 2π, 3, √12}. List all the elements of A that belong to each set. Irrational numbers

Identify the property illustrated in each statement. Assume all variables represent real numbers. (t-6)*(1/t-6)=1, if t-6 not equal to 0

582

views

Textbook Question

Multiply or divide as indicated.19.967/9.74

287

views

Textbook Question

Multiply or divide as indicated. 44.4788/5.27

258

views

Textbook Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. (7.5-y)+0=7.5-y

431

views

Textbook Question

Multiply or divide as indicated. 785.91 * 10

268

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Textbook Question

Multiply or divide as indicated. 57.116 * 100

257

views

Textbook Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. 5(t+3) = (t+3)*5

302

views

Textbook Question

Multiply or divide as indicated. 0.094 * 1000

258

views

Textbook Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. (38+99) +1 = 38+(99+1)

274

views

Textbook Question

Multiply or divide as indicated. 1.62/10

238

views

Textbook Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. 5𝜋 is a real number.

267

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Textbook Question

Multiply or divide as indicated. 124.03 /100

262

views

Textbook Question

Multiply or divide as indicated. 23.29/1000

239

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Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1/100 Decimal 0.01 Percent ?

298

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1/50 Decimal ? Percent 2%

250

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) ? Decimal 0.05 Percent 5%

257

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1/10 Decimal ? Percent ?

314

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) ? Decimal ? Percent 20%

614

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1/3 Decimal ? Percent ?

264

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) ? Decimal ? Percent 50%

261

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Textbook Question

Use the distributive property to calculate each value mentally. 72*17+28*17

273

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Textbook Question

Use the distributive property to calculate each value mentally. 123 5/8 * 1 1/2 - 23 5/8 * 1 1/2

556

views

Textbook Question

Complete the table of fraction, decimal and percent equivalents. Fraction in lowest terms(or Whole Number) 1 Decimal 1.0 Percent ?

297

views

Textbook Question

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 9/4

498

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Textbook Question

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 3/8

267

views

Textbook Question

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 5/9

656

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Textbook Question

Write each fraction as a decimal. For repeating decimals, write the answer by first using bar notation and then rounding to the nearest thousandth. 1/6

419

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Textbook Question

Write in scientific notation: 8,034,000,000. (Section 1.7, Example 2)

223

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Textbook Question

Write each percent as a decimal. 54%

277

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Textbook Question

Write each percent as a decimal. 39%

254

views

Textbook Question

Write each percent as a decimal. 7%

287

views

Textbook Question

Write each percent as a decimal. 4%

258

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Textbook Question

Write each percent as a decimal. 117%

249

views

Textbook Question

Write each percent as a decimal. 2.4%

274

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Textbook Question

Write each percent as a decimal. 6 1/4%

349

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Textbook Question

Write each percent as a decimal. 5 1/2%

408

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Textbook Question

Exercises 159–161 will help you prepare for the material covered in the next section. If 6.2 is multiplied by 10^3, what does this multiplication do to the decimal point in 6.2?

289

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Textbook Question

Write each decimal as a percent. 0.83

563

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Textbook Question

Write each decimal as a percent. 0.02

266

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Textbook Question

Write each decimal as a percent. 0.08

302

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Textbook Question

Write each decimal as a percent. 0.004

253

views

Textbook Question

Write each decimal as a percent. 0.005

276

views

Textbook Question

Write each decimal as a percent. 0.4

255

views

Textbook Question

Write each decimal as a percent. 0.6

266

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 51%

286

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 47%

318

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 15%

285

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 35%

273

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 2%

249

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Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 8%

233

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Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 140%

295

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 180%

269

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Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 7.5%

272

views

Textbook Question

Write each percent as a fraction. Give answers in lowest terms. 2.5%

325

views

Textbook Question

Write each fraction as a percent. 4/5

361

views

Textbook Question

Write each fraction as a percent. 3/25

303

views

Textbook Question

Write each fraction as a percent. 7/50

349

views

Textbook Question

Write each fraction as a percent. 9/20

242

views

Textbook Question

Write each fraction as a percent. 2/11

264

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Textbook Question

Write each fraction as a percent. 4/9

240

views

Textbook Question

Write each fraction as a percent. 9/4

255

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Textbook Question

Write each fraction as a percent. 8/5

255

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Textbook Question

Determine whether each statement is true or false. If false, correct the right side of the equation. (2/3)^-2 = (3/2)^2

65

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Textbook Question

Determine whether each statement is true or false. If false, correct the right side of the equation. (3x^2)^-1 = 3x^-2

74

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Textbook Question

Simplify each expression. See Example 1. (9^3)(9^5)

60

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Textbook Question

Simplify each expression. See Example 1. (4^2)(4^8)

79

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Textbook Question

Simplify each expression. See Example 1. (-8t^3)(2t^6)(-5t^4)

70

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Textbook Question

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. 4^8/4^6

70

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Textbook Question

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. x^12/x^8

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Textbook Question

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. r^7/r^10

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Textbook Question

Write each expression without negative exponents, and evaluate if possible. Assume all variables represent nonzero real numbers. See Example 4. (-4)^-3

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Textbook Question

Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. (5x)^-2(5x^3)^-3/(5^-2x^-3)^-3

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Textbook Question

Determine whether each statement is true or false. If false, correct the right side of the equation. 5^-2 = 1/5^2

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Textbook Question

Perform the indicated operation, and write each answer in lowest terms. 2x/5 * 10/x^2

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Textbook Question

Perform the indicated operation, and write each answer in lowest terms. y^3/8 ÷ y/4

101

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Textbook Question

Perform the indicated operation, and write each answer in lowest terms. 4/x-y - 9/x-y

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Textbook Question

Perform the indicated operation, and write each answer in lowest terms. 2x/5 + x/4

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Textbook Question

Find the domain of each rational expression. (x + 3) / (x - 6)

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Textbook Question

Find the domain of each rational expression. (2x - 4) / (x + 7)

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Textbook Question

Find the domain of each rational expression. (3x + 7) / (4x + 2)(x - 12)

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Textbook Question

Find the domain of each rational expression. 12/ (x2 + 5x + 6)

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Textbook Question

Find the domain of each rational expression. 3 / x2 - 5x - 6

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Textbook Question

Find the domain of each rational expression. x^2 - 1 / x + 1

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Textbook Question

Find the domain of each rational expression. x^3 - 1 / x - 1

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Textbook Question

Multiply or divide, as indicated. 15p^3/9p^2 * 12p/10p^3

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Textbook Question

Perform all indicated operations, and write each answer with positive integer exponents. {x- 9y^-1}/{ (x-3y^-1)(x+3y^-1)}

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0. Review of Algebra

Exponents

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