# How do you simplify \frac { m ^ { - 10} } { m ^ { - 3} }?

Jul 16, 2017

See a solution process below:

#### Explanation:

Use this rule of exponents to simplify this expression, including eliminating negative exponents:

${x}^{\textcolor{red}{a}} / {x}^{\textcolor{b l u e}{b}} = \frac{1}{x} ^ \left(\textcolor{b l u e}{b} - \textcolor{red}{a}\right)$

${m}^{\textcolor{red}{- 10}} / {m}^{\textcolor{b l u e}{- 3}} = \frac{1}{m} ^ \left(\textcolor{b l u e}{- 3} - \textcolor{red}{- 10}\right) = \frac{1}{m} ^ \left(\textcolor{b l u e}{- 3} + \textcolor{red}{10}\right) =$

$\frac{1}{m} ^ 7$