## College Algebra (10th Edition)

$\displaystyle \frac{y^2}{x^4}$
We simplify: $\displaystyle \frac{(x^{-2}y^{3})^{4}}{(x^{2}y^{-5})^{-2}}$ First we distribute the exponents: $\displaystyle \frac{(x^{-8}y^{12})}{(x^{-4}y^{10})}$ Now we combine like exponents: $x^{-8--4}y^{12-10}$ $x^{-8+4}y^{12-10}$ $x^{-4}y^{2}$ $\displaystyle \frac{y^2}{x^4}$