# How do you simplify 1/x^(-5/4)?

Aug 20, 2017

Simplified form: $\sqrt[4]{{x}^{5}}$

#### Explanation:

When you have a number raised to a negative exponent, you can change it into its reciprocal and change the sign on the exponent.

$\frac{1}{{x}^{- \frac{5}{4}}} = {x}^{\frac{5}{4}}$

Sometimes you could leave it in that form, but generally it would then be turned into root form.

${x}^{\frac{5}{4}} = \sqrt[4]{{x}^{5}}$