# How do you simplify \frac { 2x ^ { - 3} y ^ { 2} } { 3x ^ { 2} y ^ { - 2} }?

Nov 15, 2016

$\frac{2 {y}^{4}}{3 {x}^{5}}$

#### Explanation:

Combine like terms and then use the rules for exponents to simplify:

$\left(\frac{2}{3}\right) \left({x}^{-} \frac{3}{x} ^ - 2\right) \left({y}^{2} / {y}^{-} 2\right)$

$\left(\frac{2}{3}\right) \left({x}^{- 3 - - 2}\right) \left({y}^{2 - - 2}\right)$

$\left(\frac{2}{3}\right) {x}^{-} 5 {y}^{4}$

$\frac{2 {y}^{4}}{3 {x}^{5}}$