# How do you simplify (x / 10)^-1?

Apr 9, 2016

$\frac{10}{x}$

#### Explanation:

Something to the power of $- 1$ is just $1$ divided by that something, so

${\left(\frac{x}{10}\right)}^{-} 1 = \frac{1}{\frac{x}{10}}$

Dividing by one fraction is the same as multiplying by its reciprocal, so

$\frac{1}{\frac{x}{10}} = 1 \cdot \frac{10}{x} = \frac{10}{x}$