Answer
$-5xy\sqrt[3]{2x}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{-250x^4y^3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{-125x^3y^3\cdot2x}
\\\\=
\sqrt[3]{(-5xy)^3\cdot2x}
\\\\=
-5xy\sqrt[3]{2x}
.\end{array}