Answer
$2x^2y$
Work Step by Step
Factor the radicand so that we can take the cube roots later:
$\dfrac{\sqrt[3] {4^3 \cdot x^{3} \cdot x^{3} \cdot x^{3} \cdot y^{3}}}{\sqrt[3] {2^3 \cdot x^{3}}}$
Take the cube roots:
$=\dfrac{4 \cdot x \cdot x \cdot x \cdot y}{2 \cdot x}$
Simplify by canceling pairs of common factors in the numerator and denominator:
$=2x^2y$