Answer
$\frac{y^{2}}{x^{7}}$
Work Step by Step
We are given the expression $\frac{x^{-7}}{y^{-2}}$.
In general, we know that $a^{-n}=\frac{1}{a^{n}}$ (where a is a nonzero real number and n is an integer).
Therefore, $\frac{x^{-7}}{y^{-2}}=\frac{1}{x^{7}}\times y^{2}=\frac{y^{2}}{x^{7}}$.