Answer
$4|xy|$
Work Step by Step
Using $\sqrt[n]{x^n}=|x|$ where $n$ is even, the given expression, $
\sqrt[4]{(4xy)^4}
,$ is equivalent to
\begin{array}{l}\require{cancel}
|4xy|
\\\\=
4|xy|
.\end{array}
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.