Answer
$-108$
Work Step by Step
Using $\dfrac{1}{x^{-a}}=x^a,$ the given expression, $
\dfrac{4}{(-3)^{-3}}
,$ simplifies to
\begin{array}{l}\require{cancel}
4\cdot(-3)^3
\\\\=
4\cdot(-27)
\\\\=
-108
.\end{array}
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