# How do you simplify (-4/5)^2?

## List item

Nov 18, 2016

The simplified answer is $\frac{16}{25}$

#### Explanation:

${\left(- \frac{4}{5}\right)}^{2}$ can be rewritten as $\left(- \frac{4}{5}\right) \cdot \left(- \frac{4}{5}\right)$ because an exponent of $2$ indicates the base $\left(- \frac{4}{5}\right)$ is multiplied by itself twice.

A negative number multiplied by a negative number is positive.

Multiply the numerators straight across, then multiply the denominators straight across.

$\left(- \frac{4}{5}\right) \cdot \left(- \frac{4}{5}\right) = \frac{4 \cdot 4}{5 \cdot 5} = \frac{16}{25}$