0. Review of Algebra

Exponents

0. Review of Algebra

Exponents

Guided videos.

Learn with Patrick

Go to the course

Guided course

7:39

Introduction to Exponent Rules

Zero and Negative Rules

Simplifying Exponential Expressions

Additional 4 creators.

Learn with other creators

05:27

Power of a Product Property

Power of a Product Property

Power of a Quotient Property

Power of a Quotient Property

Power of a Quotient Property

Simplifying expressions using the Laws of Exponents

Algebra - Simplify an expression with exponents

Exponents and integers

KSpinMATH

526

views

Showing 8 of 8 videos

Practice this topic

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.

1208

views

Textbook Question

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

2134

views

Textbook Question

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

The reciprocal of 6/2 is 3/1.

590

views

Textbook Question

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

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

275

views

Textbook Question

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

355

views

Textbook Question

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

462

views

Textbook Question

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

397

views

Textbook Question

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

261

views

Textbook Question

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

258

views

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

397

views

Textbook Question

Evaluate each expression. 0/7

461

views

Textbook Question

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

395

views

Textbook Question

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

551

views

Textbook Question

Evaluate each expression. 10^3

362

views

Textbook Question

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

254

views

Textbook Question

Write each fraction in lowest terms. 8/16

355

views

Textbook Question

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

352

views

Textbook Question

Evaluate each expression. 2*5 - 10/12

426

views

Textbook Question

Write each fraction in lowest terms. 4/12

372

views

Textbook Question

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

348

views

Textbook Question

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

271

views

Textbook Question

Evaluate each expression. |-4|

395

views

Textbook Question

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

332

views

Textbook Question

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

213

views

Textbook Question

Write each fraction in lowest terms. 16/20

358

views

Textbook Question

Write each fraction in lowest terms. 90/150

409

views

Textbook Question

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

570

views

Textbook Question

Evaluate each expression. |-10|

390

views

Textbook Question

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

282

views

Textbook Question

Write each fraction in lowest terms. 100/140

376

views

Textbook Question

Evaluate each expression. |-15|

380

views

Textbook Question

Write each fraction in lowest terms. 18/90

374

views

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, ....}

365

views

Textbook Question

Evaluate each expression. -|4/7|

402

views

Textbook Question

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

595

views

Textbook Question

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

249

views

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

501

views

Textbook Question

Evaluate each expression. -|7/2|

381

views

Textbook Question

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

365

views

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}

328

views

Textbook Question

Evaluate each expression. -|-3|

379

views

Textbook Question

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

269

views

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

396

views

Textbook Question

Evaluate each expression. -|-12|

373

views

Textbook Question

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

334

views

Textbook Question

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

267

views

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}

721

views

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

10718

views

Textbook Question

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

768

views

Textbook Question

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

394

views

Textbook Question

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

402

views

Textbook Question

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

369

views

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?

1428

views

Textbook Question

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

272

views

Textbook Question

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

493

views

Textbook Question

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

563

views

Textbook Question

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

347

views

Textbook Question

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

389

views

Textbook Question

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

230

views

Textbook Question

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

655

views

Textbook Question

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

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

336

views

Textbook Question

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

363

views

Textbook Question

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

373

views

Textbook Question

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

253

views

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|

311

views

Textbook Question

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

352

views

Textbook Question

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

440

views

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}

580

views

Textbook Question

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

259

views

Textbook Question

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

433

views

Textbook Question

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

421

views

Textbook Question

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

620

views

Textbook Question

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

735

views

Textbook Question

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

353

views

Textbook Question

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

464

views

Textbook Question

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

367

views

Textbook Question

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

292

views

Textbook Question

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

426

views

Textbook Question

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

313

views

Textbook Question

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

329

views

Textbook Question

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

498

views

Textbook Question

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

370

views

Textbook Question

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

257

views

Textbook Question

Find each sum or difference. -15+6

332

views

Textbook Question

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

339

views

Textbook Question

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

317

views

Textbook Question

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

535

views

Textbook Question

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

403

views

Showing 100 of 100 practice