In the following, simplify using absolute values as necessary. \sqrt{a^{14}}

Mary Jackson

Mary Jackson

Answered question

2021-12-07

In the following, simplify using absolute values as necessary.
a14

Answer & Explanation

Travis Hicks

Travis Hicks

Beginner2021-12-08Added 29 answers

Given information: An expression is given as a14.
Calculations: We have been given an expression is a14.
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.
a14 [Simplify the square root of a14]
(a7)2 [Break the power exponent in the form of (am)n=amn]
|a3| [n{an}=|a|, if the value of n is even.]
Thus, index value of a14 is even.
Hence, the simplification of a14 is |a3|.

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