# How do you express (-7)^-1 as a positive exponent?

Apr 8, 2017

See the entire solution process below:

#### Explanation:

Use this rule of exponents to eliminate the negative exponent:

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

${\left(- 7\right)}^{\textcolor{red}{- 1}} = \frac{1}{{\left(- 7\right)}^{\textcolor{red}{- - 1}}} = \frac{1}{- 7} ^ 1$

You can continue to simplify by using this rule of exponents:

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

$\frac{1}{- 7} ^ \textcolor{red}{1} = \frac{1}{- 7} = - \frac{1}{7}$