Answer
$\dfrac{x^{3}}{y^{4}}$
Work Step by Step
Using the laws of exponents, the given expression, $
\left( \dfrac{x^{-3}}{y^{-4}} \right)^{-1}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{x^{-3(-1)}}{y^{-4(-1)}}
\\\\=
\dfrac{x^{3}}{y^{4}}
.\end{array}