#### Answer

$-2x^2\sqrt[3]{2}$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt[3]{-16x^6}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{-8x^6\cdot 2}
\\\\=
\sqrt[3]{(-2x^2)^3\cdot 2}
\\\\=
-2x^2\sqrt[3]{2}
\end{array}
* Note that it is assumed that no radicands were formed by raising negative numbers to even powers.