#### Answer

$\color{blue}{2xy^2}$

#### Work Step by Step

Factor the radicand so that at least one factor is a perfect cube:
$=\sqrt[3]{2^3x^3(y^2)^3}
\\=\sqrt[3]{(2xy^2)^3}$
Bring out the cube root of the perfect cube factor to obtain:
$=\color{blue}{2xy^2}$