# How do you simplify 3^3div3^-1?

##### 1 Answer
Jan 3, 2017

See simplification procedure below using rules for exponents.

#### Explanation:

First, we can rewrite this expression as:

${3}^{3} / {3}^{-} 1$

Now we can use the following rule for exponents to start the simplification:

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

Apply this rule to our expression gives:

${3}^{\textcolor{red}{3}} / {3}^{\textcolor{b l u e}{b}} = {3}^{\textcolor{red}{3} - \textcolor{b l u e}{- 1}} = {3}^{\textcolor{red}{3} + \textcolor{b l u e}{1}} = {3}^{4} =$

$3 \times 3 \times 3 \times 3 = \left(3 \times 3\right) \times \left(3 \times 3\right) = 9 \times 9 =$

$81$