Answer
$\dfrac{p^4}{5}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{(p^{-2})^0}{5p^{-4}}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{1}{5p^{-4}}
\\\\=
\dfrac{1p^4}{5}
\\\\=
\dfrac{p^4}{5}
.\end{array}