# How do you rewrite (-7)^-1 without the exponent?

Feb 22, 2017

$- \frac{1}{7}$

#### Explanation:

Before we get rid of the exponent, we need to change it. Take a look at the rule below:

${a}^{-} b = \frac{1}{{a}^{b}}$

Given this law, let's apply it to the problem.

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

Now that we got rid of the negative, we can eliminate the exponent as a whole. Recall that anything to the first power is itself.

$\frac{1}{- 7}$

This can be rewritten as:

$- \frac{1}{7}$