In the following, simplify using absolute values as necessary. \sqrt{169w^{8}y^{10}}

Deragz

Deragz

Answered question

2021-12-11

In the following, simplify using absolute values as necessary.
169w8y10

Answer & Explanation

mauricio0815sh

mauricio0815sh

Beginner2021-12-12Added 34 answers

Given information: An expression is given as 169w8y10.
Calculations: We have been given an expression is 169w8y10.
To find the odd and even roots by using the absolute value as necessary, we are use power property of exponent i.e. (am)n=amn as shown below:
169w8y10 [Simplify the square root of 169w8y10]
(13w4y5)2 [Break the power exponent in the form of (am)n=amn]
13w4|y5| [ann=|a|, if the value of n is even.]
Thus, index of 169w8y10 is even.
Hence, the simplification 169w8y10 is 13w4|y5|

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