Answer
$\frac{x^{4}}{y^2}$.
Work Step by Step
The given expression is
$=(x^2y^{-1})^{2}$
Use the law of exponents $(ab)^{m}=a^m\cdot b^m$
We have $a=x^2, b=y^{-1}$ and $m=2$
$=(x^2)^2\cdot (y^{-1})^{2}$
Use the law of exponents $(a^m)^{n}=a^{m\cdot n}$
$=x^{2\cdot 2}\cdot y^{-1\cdot 2}$
Simplify.
$=x^{4}\cdot y^{-2}$.
Use the law of exponents $(a)^{-n}=\frac{1}{a^{n}}$
$=\frac{x^{4}}{y^2}$.
