# Chapter 7 - Section 7.1 - Radicals and Radical Functions - Exercise Set: 48

2|x|

#### Work Step by Step

We are told that $\sqrt[n] a^{n}=|a|$ when n is an even positive integer. In this case, $16x^{4}=(2x)^{4}$, so $a=2x$. $\sqrt[4] (a^{4})=|2x|=2|x|$

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