Answer
$\dfrac{y}{x^{8}}$
Work Step by Step
Using $x^{-a}=\dfrac{1}{x^a}$ and $\dfrac{1}{x^{-a}}=x^a,$ the given expression, $
\dfrac{x^{-8}}{y^{-1}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{y^{1}}{x^{8}}
\\\\=
\dfrac{y}{x^{8}}
.\end{array}