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

##### 1 Answer
Jul 24, 2017

See a solution process below:

#### Explanation:

Use this rule of exponents to simplify the expression:

${x}^{\textcolor{red}{a}} = \frac{1}{x} ^ \textcolor{red}{- a}$

$3 {a}^{2} {b}^{\textcolor{red}{- 4}} \implies 3 {a}^{2} \cdot \frac{1}{b} ^ \textcolor{red}{- - 4} \implies 3 {a}^{2} \cdot \frac{1}{b} ^ 4 \implies \frac{3 {a}^{2}}{b} ^ 4$