# How do you simplify (9/16)^(-1/2)?

Apr 23, 2018

$\frac{4}{3}$

#### Explanation:

As the power holds a negative, this means that we can put 1 over $\frac{9}{16}$, which is equal to $\frac{16}{9}$ leaving us with;

${\left(\frac{16}{9}\right)}^{\frac{1}{2}}$

The power of $\frac{1}{2}$ is also another way of writing the square root;

= $\sqrt{\frac{16}{9}}$

From here you can find the square roots of 16 and 9, and giving you your final answer;

= $\frac{4}{3}$