Answer
$-3\sqrt[3]{4}$.
Work Step by Step
The given expression is
$=\sqrt[3]{-108}$
Factor as cube terms.
$=\sqrt[3]{-27\cdot 4}$
Use product property of cube roots.
$=\sqrt[3]{-27}\cdot \sqrt[3]{4}$
Use $-27=(-3)^3$.
$=\sqrt[3]{(-3)^3}\cdot \sqrt[3]{4}$
Simplify.
$=-3\sqrt[3]{4}$.