# How do you simplify (1/16)^(-3/4)?

${\left(\frac{1}{16}\right)}^{- \frac{3}{4}} = 8$

#### Explanation:

We can use the following rules to figure this out:

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

${\left({x}^{a}\right)}^{b} = {x}^{a b}$

We can now start working. Let's first use the second rule:

${\left(\frac{1}{16}\right)}^{- \frac{3}{4}}$

${16}^{\frac{3}{4}}$

Notice that $16 = {2}^{4}$

${\left({2}^{4}\right)}^{\frac{3}{4}}$

${2}^{4 \times \frac{3}{4}}$

${2}^{3} = 8$