Evaluate (9/8)^-2

${(\frac{9}{8})}^{- 2}$

Step 1

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

${(\frac{8}{9})}^{2}$

Step 2

Apply the product rule to $\frac{8}{9}$ .

$\frac{8^{2}}{9^{2}}$

Step 3

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

$\frac{64}{9^{2}}$

Step 4

Raise $9$ to the power of $2$ .

$\frac{64}{81}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{81}$

Decimal Form:

$0.79012345 \dots$