# How do find the quotient of (-300x^5y^4)/(xy^2)?

Mar 18, 2018

See a solution process below:

#### Explanation:

First, rewrite the expression as:

$- 300 \left({x}^{5} / x\right) \left({y}^{4} / {y}^{2}\right)$

Next, use this rule for exponents to rewrite the $x$ term in the denominator:

$a = {a}^{\textcolor{b l u e}{1}}$

$- 300 \left({x}^{5} / {x}^{\textcolor{b l u e}{1}}\right) \left({y}^{4} / {y}^{2}\right)$

Now, use this rule for exponents to find the quotient:

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$

$- 300 \left({x}^{\textcolor{red}{5}} / {x}^{\textcolor{b l u e}{1}}\right) \left({y}^{\textcolor{red}{4}} / {y}^{\textcolor{b l u e}{2}}\right) \implies$

$- 300 {x}^{\textcolor{red}{5} - \textcolor{b l u e}{1}} {y}^{\textcolor{red}{4} - \textcolor{b l u e}{2}} \implies$

$- 300 {x}^{4} {y}^{2}$