Answer
$2 \sqrt[3]{2}$.
Work Step by Step
$=\frac{\sqrt[3]{32}}{\sqrt[3]{2}}$
Use quotient rule.
$=\sqrt[3]{\frac{32}{2}}$
Simplify.
$=\sqrt[3]{16}$
Factor as a perfect cube.
$=\sqrt[3]{2^3\cdot 2}$
Use product rule.
$=\sqrt[3]{2^3}\cdot \sqrt[3]{2}$
Simplify.
$=2 \sqrt[3]{2}$.