Answer
$-a^{6}b^3$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{-a^{18}b^9}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{(-a^{6}b^3)^3}
\\\\=
-a^{6}b^3
.\end{array}
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