# How do you simplify (4/9)^-2?

##### 1 Answer
Jul 25, 2018

${\left(\frac{4}{9}\right)}^{- 2} = \frac{81}{16}$

#### Explanation:

${a}^{- m}$ is $\frac{1}{a} ^ m$

Hence ${\left(\frac{4}{9}\right)}^{- 2}$ is ${\left(\frac{1}{\frac{4}{9}}\right)}^{2}$

or ${\left(\frac{9}{4}\right)}^{2}$

= $\frac{9 \times 9}{4 \times 4}$

= $\frac{81}{16}$