# How do you simplify the expression (y^4z^2)(y^-3z^-5) using the properties?

Jul 10, 2017

(y^4z^2)(y^(-3)z^(-5))=color(blue)(y/(z^3)

#### Explanation:

Simplify:

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

Apply the product rule of exponents: ${a}^{m} {a}^{n} = {a}^{m + n}$.

${y}^{4 + \left(- 3\right)} {z}^{2 + \left(- 5\right)}$

$y {z}^{- 3}$

Apply the negative exponent rule: ${a}^{- 1} = \frac{1}{a}$.

$\frac{y}{{z}^{3}}$