In the following, simplify using absolute values as necessary. \sqrt{w^{24}}

Madeline Lott

Madeline Lott

Answered question

2021-12-07

In the following, simplify using absolute values as necessary.
w24

Answer & Explanation

Serita Dewitt

Serita Dewitt

Beginner2021-12-08Added 41 answers

Given information: An expression is given as w24.
Calculations: We have been given an expression is w24.
For finding the odd and even roots by using the absolute values as necessary, we must know about the power property of exponent i.e.
(am)n=amn.
w24 [Simplify the square root of w24]
(w12)2 [Break the power exponent in the form of (am)n=amn]
|w12| [n{an}=|a|, if the value of n is even.]
Thus, index value of w24 is even.
Hence, the simplification of w24 is |w12|.

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