# How do you simplify (x^3y^7)/(x^2y^3)?

Mar 8, 2018

See a solution process below:

#### Explanation:

Use this rule of exponents to simplify the expression:

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

${x}^{\textcolor{red}{3}} {y}^{\textcolor{red}{7}} / {x}^{\textcolor{b l u e}{2}} {y}^{\textcolor{b l u e}{3}} \implies$

${x}^{\textcolor{red}{3} - \textcolor{b l u e}{2}} {y}^{\textcolor{red}{7} - \textcolor{b l u e}{3}} \implies$

${x}^{\textcolor{red}{1}} {y}^{4}$

Then use this rule of exponents to simplify the $x$ term:

${a}^{\textcolor{red}{1}} = a$

$x {y}^{4}$