Answer
$\frac{y^{3}}{x^3}$.
Work Step by Step
The given expression is
$=(x^{-1}y)^{3}$
Use the law of exponents $(ab)^{m}=a^m\cdot b^m$
We have $a=x^{-1}, b=y$ and $m=3$
$=(x^{-1})^3\cdot (y)^{3}$
Use the law of exponents $(a^m)^{n}=a^{m\cdot n}$
$=x^{-1\cdot 3}\cdot y^{3}$
Simplify.
$=x^{-3}\cdot y^{3}$.
Use the law of exponents $(a)^{-n}=\frac{1}{a^{n}}$
$=\frac{y^{3}}{x^3}$.
