Evaluate (8/5)^-2

${(\frac{8}{5})}^{- 2}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{5}{8})}^{2}$

Step 2

Apply the product rule to $\frac{5}{8}$ .

$\frac{5^{2}}{8^{2}}$

Step 3

Raise $5$ to the power of $2$ .

$\frac{25}{8^{2}}$

Step 4

Raise $8$ to the power of $2$ .

$\frac{25}{64}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{64}$

Decimal Form:

$0.390625$