Answer
$\frac{5\sqrt[3]{2}}{4}$.
Work Step by Step
The given expression is
$=\frac{5}{\sqrt[3]{32}}$
Multiply by $\frac{\sqrt[3]{2}}{\sqrt[3]{2}}$.
$=\frac{5}{\sqrt[3]{32}}\cdot \frac{\sqrt[3]{2}}{\sqrt[3]{2}}$
Use product property of square roots.
$=\frac{5\sqrt[3]{2}}{\sqrt[3]{32\cdot 2}}$
Simplify.
$=\frac{5\sqrt[3]{2}}{\sqrt[3]{64}}$
Use $64=4^3$.
$=\frac{5\sqrt[3]{2}}{\sqrt[3]{4^3}}$
Simplify.
$=\frac{5\sqrt[3]{2}}{4}$.
