College Algebra
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Consider this radical expression: √(- 37)2
Indicate if the root is a real number or not. In the case of a real number, evaluate.
Simplify this expression:
[a- 7/3b4/3/b- 5/3]- 3
All variables are greater than zero.
Simplify this expression: (27x-2y6)-1/3 (xy3/2)
Consider the expression: 12√a9b8
Simplify by reducing indices.
Consider the expression: (5x1/5)4 / x3/10
Simplify using laws of exponents.
Consider the expression: (49a8b12)1/2
Subtract these terms: ∛(375a3 b) - a∛648b
Consider this radical: ∛990
Simplify if it can be further simplified.
Consider this radical: 5√(1/1024)
Consider this radical: 7√(- 18)7
Simplify the following expression by using the quotient rule: √490h5/√5h-3
Assume that h is a positive number.
Simplify the following expression by using the quotient rule: √100a5 / √4a3
Assume that a is a positive number.
Simplify the following expression by using the product rule:
√25a ⋅ √4a
To make the given statement valid, use either <, >, = in the shaded area.|82∙(-1)3/4 + 10| □ |53/(32 + 42)|
Consider this radical expression: √900 - √841
Consider this radical expression: √(149 + 107)
Consider this radical expression: √- 289
Consider this radical expression: - √841
Consider this radical expression: √961
Consider the given exponential expression: (3-1a-7b-4)-3(3a-1b5)-3(108a13b-21)0/ (a8 b2)3
Simplify.
Consider the given exponential expression. (8m-5np-8)(8m)-5
Consider the given exponential expression: (a-3b)-5/(a3b-1)5
Consider the given exponential expression: (2k5/m)-4
Consider the given exponential expression: (7a5)-3
Consider the given exponential expression: (- 16x9y8)/(4x5y1)Simplify.
Consider the given exponential expression: (- 2/y)6Simplify.
Consider the given exponential expression: a28/a-7Simplify.
Consider the given exponential expression: (j5)6Simplify.
Consider the given exponential expression: m6 ⋅ m3Simplify.
Consider the given exponential expression: a7b0Simplify.
Consider the given exponential expression: w- 3uSimplify.
Consider the given exponential expression: 79/77Evaluate.
Consider the given exponential expression: (24)3Evaluate.
Consider the given exponential expression: 46 ⋅ 41Evaluate.
Consider the given exponential expression: 2-5Evaluate.
Consider the given exponential expression: (- 182)0Evaluate.
Consider the given exponential expression: - 44Evaluate.
Consider the given exponential expression: (- 9)3Evaluate.
Reduce the index of the radical to simplify. (b4)1/8
Simplify this radical expression. ∜81a5/∜256a, given that a is not negative.
Simplify this radical expression. 3∜405 + 2∜80 - ∜1280
Simplify this radical expression. ∛1331
Rationalize this expression and evaluate. 25/(√2 - √3)
Rationalize this expression and simplify. 1/√8
Rationalize this expression and simplify. √32/√2
Subtract these terms. 8√108 - 2√147
Add these terms. 5√x + 12√4x + 8√(x/4)
Evaluate to remove the absolute value bars. -|√3 - 5|
For the following expression, rewrite to its exponential form and evaluate. ∛1728
By using rules of exponents, identify if the given statement is true or false. If the statement is false, modify the right side of the equation to make the equation correct.
(x21)(x3) = x24
For the following expression, rewrite to its radical form and evaluate. 12963/4
For the following expression, rewrite to its radical form and evaluate.
(6x)1/6
(6x)-1/6
(-5x)-1/5
(-4x)1/4
-5x1/5
9x1/9
8x-1/8
Evaluate and simplify the following. Write the answer as an exact value. √294
(x1/9)(x5/9) = x5/81
Evaluate and simplify the following. All variables denote numbers greater than zero. 9√(kh) - 11√(kh)
Evaluate and simplify the following expression. (7 + √13)(7 - √13)
Which of the following expressions is equivalent to -4-3?
Evaluate the following root expression. ∛1331
Evaluate the following root expression. ∛512
Reduce the following expression to the simplest form.
(4x6)(-8x2)
(y3)(y5)(y)
(p7)(p4)(p)
Evaluate the following root expression. ∜625
Evaluate the following root expression. ∛-1331
Evaluate the following root expression. ∛-512
Evaluate the following root expression. ∜-2401
Evaluate the following root expression. ∜-625
Evaluate the following root expression. ⁵√-3125
(5a3b)(-7a5b8)
Evaluate the following root expression. ∛-729
(25p2q)((-3/5)pq4)
(84)6
Reduce the following expression to the simplest form. Assume all the variables to be non-zero real numbers.
(-3a7)3
Convert the following exponential expression into its radical form. Note that the given variable represents positive real numbers. - 13h5/2
-(4p0q2)5
Convert the following exponential expression into its radical form. Note that the given variable represents positive real numbers. k11/8
(a2/b)5
Convert the following exponential expression into its radical form. Note that the given variables represent positive real numbers. (2h + 5k)3/5
Convert the following radical expression into its exponential form. Note that the given variable represents positive real numbers. 6√(z)5
(-6p3/q4)4
-(a2b6/c)0
Convert the following radical expression into its exponential form. Note that the given variable represents positive real numbers. - 5√(2v3)
Convert the following radical expression into its exponential form. Note that the given variables represent positive real numbers. - p√(5q7)
Find the root of the given expression. √(67)2
Which of the following expressions is the simplified from of -90?
Find the root of the given expression.5√(n5)
Find the root of the given expression.9√c9
By using the rules of exponents, evaluate the following expression: -8-3
Find the root of the given expression.8√p8
Find the root of the given expression.√(144p8q14)
By using the rules of exponents, evaluate the following expression: (1/17)-2
Find the root of the given expression.4√(625u36v28)
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: (4f)-3
Find the root of the given expression.5√(17 +3p)5
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: 6p-22
Perform the following operation and evaluate by applying radical rules and simplification techniques.√29 • √261
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: -q-64
Perform the following operation and evaluate it by applying radical rules and simplification techniques. Let the given variable be the set of all positive real numbers, ℝ⁺)6√y • 6√y5
Perform the following operation and evaluate it by applying radical rules and simplification techniques. Let the given variable be the set of all positive real numbers, ℝ⁺)7√n3 • 7√n4
By using the rules of exponents, simplify the following expression: s93/s100
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: 98/9-4
Perform the following operation and evaluate by applying radical rules and simplification techniques. Let any given variable be the set of all positive real numbers, ℝ⁺)√13 • √(7abc)
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: 14k-11/(35k-15)
Perform the following operation and evaluate by applying radical rules and simplification techniques. Let any given variable be the set of all positive real numbers, ℝ⁺)∛(41a) • ∛(3b)
Perform the following operation and evaluate it by applying radical rules and simplification techniques.√(225/289)
By using the rules of exponents, simplify the following expression and eliminate the negative exponents:
Perform the following operation and evaluate it by applying radical rules and simplification techniques.∛(19/27)
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: -11g-6(g12)3
Perform the following operation and evaluate it by applying radical rules and simplification techniques.5√(a5/b)
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: (3c-4)3(c4)6
By using the rules of exponents, simplify the following expression and eliminate the negative exponents: (g-9)0/(31g-14), g ≠ 0
Perform the following operation and evaluate it by applying radical rules and simplification techniques.∜∛79
Perform the following operation and evaluate it by applying radical rules and simplification techniques.6√(3√13)
Completely simplify the following radical expression. √156
Consider the given expression and solve it: 20251/2
Completely simplify the following radical expression. ∛2187
Consider the given expression and solve it: 24011/4
Completely simplify the following radical expression. -∜3125
Consider the given expression and solve it: (-512/343)1/3
Completely simplify the following radical expression.-13(5√3125)
Consider the given expression and solve it: (-1296)1/4
Simplify the following expression:
Choose the option from Column B, which is the simplified form of the expression in Column A.
Consider the given expression and simplify it: 168072/5
Solve the given expression, and answers should be written without negative exponents:(87/3)(85/3)
Solve the given expression, and answers should be written without negative exponents:(2433/5)/(2432/5)
Solve the given expression, and the answer should be written without negative exponents. (Let all the variables shown belong to ℝ⁺): (p9/7)(p-2/7)
Simplify the following expression, and if possible, evaluate using exact values. Note that the given variables represent positive real numbers.
7√(3y) - √(75y) + √(300y)
Solve the given expression, and the answer should be written without negative exponents (let all the variables shown belong to ℝ⁺): (q1/7)/(q-6/7)(q)
7√(3y2) - √(75y2) + √(300y2)
Solve the given expression, and the answer should be written without negative exponents. (Let all the variables shown belong to ℝ⁺): (q5/6)/(q-13/6)(q3)
Solve the given expression, and the answer should be written without negative exponents. (Let all the variables shown belong to ℝ⁺): (p2/7 q3/14)28/(p5)
5∛128 - 3∛16 + 2∛54
∜405 + 3∜5
Substitute the given values of m = - 9, n = 1, o = - 14 in the following expression and simplify the final answer. (m + n)/(n - o)
7∛135 + ∛320
Substitute the given values of m = - 9, n = 1, o = - 14 in the following expression and simplify the final answer. 4m/o - 5/n
11a∛(135ab2) - 3∛(320a4b2)
Substitute the given values of m = - 9, n = 1, o = - 14 in the following expression and simplify the final answer. 12n/(4m - 5o)
Solve the given expression, and the answer should be written without negative exponents. (Let all the variables shown belong to ℝ⁺): (c1/5 c7/10 c-2/5)/(c-1/5)4
Substitute the given values of m = - 9, n = 1, o = - 14 in the following expression and simplify the final answer. (n/5 - o/7)/(2m/3 + n/2)
Substitute the given values of m = - 9, n = 1, o = - 14 in the following expression and simplify the final answer. [- (m + 7)3 - 5n]/(7 - o)
Compute the given value cognitively.(0.22)(1602)
∛(125h2k) + ∛(729h5k4)
Compute the given value cognitively.(322)(0.1252)
∜(625c6d3) - ∜(256c10d3)
Compute the given value cognitively.215/75
Compute the given value cognitively.(0.1253/5)(2563/5)
Simplify the following expression and evaluate using exact values. 7√15 + 8√21
Simplify the following expression and evaluate using exact values. √13(5 + √3)
Compute the given value cognitively.(1533/2)/(173/2)
Simplify the following expression and evaluate using exact values. √6(√5 - √13)
Simplify the following expression and evaluate using exact values. (√7 + 11)(√7 - 11)
Simplify the following expression and evaluate using exact values. (∛17 - ∛11) (∛172 + (∛11)(∛17) + ∛112)
Simplify the following expression and evaluate using exact values. (11√7 + √11)(7√11 - √7)
Rationalize the following expression such that no radical appears in the denominator.
7/√3
∛(4/7)
∜(3/49)
Rationalize and simplify the following expression such that no radical appears in the denominator. Note that the given variable represents positive real numbers.
√(5/7x)
Simplify the expression given below. Note that the variables represent positive real numbers.
√(x7y5/z2)
∛(27/x7)
(∛m2n • ∛m) / ∛n5
Simplify the expression given below.
Rationalize the denominator of the following expression.
Rationalize the denominator of the following expression. Note that the variables represent positive real number.