Answer
$\dfrac{7}{5w^{8}}$
Work Step by Step
Using the laws of exponents, the given expression, $
\dfrac{7w^5}{5w^{13}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{7w^{5-13}}{5}
\\\\=
\dfrac{7w^{-8}}{5}
\\\\=
\dfrac{7}{5w^{8}}
.\end{array}