#### Answer

$2x\sqrt[3]{y^2}$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt[3]{8x^3y^2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{8x^3\cdot y^2}
\\\\=
\sqrt[3]{(2x)^3\cdot y^2}
\\\\=
2x\sqrt[3]{y^2}
\end{array}
* Note that it is assumed that no radicands were formed by raising negative numbers to even powers.