# How do you simplify the expression \frac{a^5b^4}{a^3b^2}?

Jun 23, 2018

Use this rule for exponents to simplify the $a$ and $b$ terms:
${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$
$\frac{{a}^{\textcolor{red}{5}} {b}^{\textcolor{red}{4}}}{{a}^{\textcolor{b l u e}{3}} {b}^{\textcolor{b l u e}{2}}} \implies {a}^{\textcolor{red}{5} - \textcolor{b l u e}{3}} {b}^{\textcolor{red}{4} - \textcolor{b l u e}{2}} \implies {a}^{2} {b}^{2}$