# How do you simplify (1/16)^-(1/4)?

May 24, 2018

$2$

#### Explanation:

we will use the following rules

${x}^{- n} = \frac{1}{{x}^{n}}$

${x}^{\frac{1}{n}} = \sqrt[n]{x}$

${\left(\frac{1}{16}\right)}^{- \frac{1}{4}}$

$= {\left(\frac{16}{1}\right)}^{\frac{1}{4}}$

$= \sqrt[4]{16}$

$= 2$