Evaluate (9/7)^-2

${(\frac{9}{7})}^{- 2}$

Step 1

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

${(\frac{7}{9})}^{2}$

Step 2

Apply the product rule to $\frac{7}{9}$ .

$\frac{7^{2}}{9^{2}}$

Step 3

Raise $7$ to the power of $2$ .

$\frac{49}{9^{2}}$

Step 4

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

$\frac{49}{81}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{49}{81}$

Decimal Form:

$0.60493827 \dots$