# How do you simplify (3x)^-1?

##### 1 Answer
Feb 10, 2017

See the entire simplification process below:

#### Explanation:

First, use this rule of exponents:

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

${\left(3 x\right)}^{\textcolor{red}{- 1}} = \frac{1}{3 x} ^ \textcolor{red}{- - 1} = \frac{1}{3 x} ^ 1$

Now, use this rule of exponents to complete the simplification:

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

$\frac{1}{3 x} ^ \textcolor{red}{1} = \frac{1}{3 x}$