Answer
$4x\sqrt[3]{xy^2}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{64x^4y^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{64x^3\cdot xy^2}
\\\\=
\sqrt[3]{(4x)^3\cdot xy^2}
\\\\=
4x\sqrt[3]{xy^2}
.\end{array}Note that all of the variables are assumed to represent non-negative real numbers.
