In the following, simplify using absolute values as necessary. \sqrt[3]{216a^{6}}

Alfred Martin

Alfred Martin

Answered question

2021-12-08

In the following, simplify using absolute values as necessary.
3{216a6}

Answer & Explanation

turtletalk75

turtletalk75

Beginner2021-12-09Added 29 answers

Given information: An expression is given as 3{216a6}.
Calculations: We have been given an expression is 3{216a6}.
For finding the odd and even roots by using the absolute value as necessary, we must know about the power property of exponent i.e.
(am)n=amn
3{216a6} [Simplify the cube root of 216a6]
3{(6a2)3} [Break the power exponent in the form of (am)n=amn]
6a2 [n{an}=a, if the value of n is odd.]
Thus, index value of 3{216a6} is odd.
Hence, the simplification of 3{216a6} is 6a2

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