Answer
$\frac{2}{5}\sqrt[3] {2}$.
Work Step by Step
$=\sqrt[3] {\frac{16}{125}}$
Use quotient rule.
$=\frac{\sqrt[3] {16}}{\sqrt[3] {125}}$
Factor each term as a perfect cube.
$=\frac{\sqrt[3] {2^3\cdot 2}}{\sqrt[3] {5^3}}$
Use product rule.
$=\frac{\sqrt[3] {2^3}\cdot \sqrt[3] {2}}{\sqrt[3] {5^3}}$
Simplify.
$=\frac{2\sqrt[3] {2}}{5}$
$=\frac{2}{5}\sqrt[3] {2}$.
