# How do you simplify (a^-2b^4)/(3a^-3) and write it using only positive exponents?

Jun 3, 2017

See a solution process below:

#### Explanation:

Use these rules for exponents to simplify the expression:

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} - \textcolor{b l u e}{b}}$ and ${a}^{\textcolor{red}{1}} = a$

(a^color(red)(-2)b^4)/(3a^color(blue)(-3)) => (a^(color(red)(-2)- color(blue)(-3))b^4)/3 => (a^(color(red)(-2)+color(blue)(3))b^4)/3 =>

$\frac{{a}^{\textcolor{red}{1}} {b}^{4}}{3} \implies \frac{a {b}^{4}}{3}$