In the following, simplify using absolute values as necessary. \sqrt[4]{m^{8}}

Sapewa

Sapewa

Answered question

2021-12-06

In the following, simplify using absolute values as necessary.
4{m8}

Answer & Explanation

Heather Fulton

Heather Fulton

Beginner2021-12-07Added 31 answers

Given information: An expression is given as 4{m8}.
Calculations: We have been given an expression is 4{m8}.
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.
4{m8} [Simplify the fourth root of m8]
4{(m2)4} [Break the power exponent in the form of (am)n=amn]
|m2| [n{an}=|a|, if the value of n is even.]
Thus, index value of 4{m8} is even.
Hence, the simplification of 4{m8} is |m2|

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