Answer
$4x^2 \sqrt[3] {2x}$
Work Step by Step
Factor the radicand so that we can take the cube roots later:
$\sqrt[3] {4^3 \cdot 2 \cdot x^{3} \cdot x^{3} \cdot x}$
Take the cube roots:
$=4 \cdot x \cdot x \sqrt[3] {2 \cdot x}$
Simplify:
$=4x^2 \sqrt[3] {2x}$
