Evaluate (7/8)^-2

${(\frac{7}{8})}^{- 2}$

Step 1

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

${(\frac{8}{7})}^{2}$

Step 2

Apply the product rule to $\frac{8}{7}$ .

$\frac{8^{2}}{7^{2}}$

Step 3

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

$\frac{64}{7^{2}}$

Step 4

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

$\frac{64}{49}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{49}$

Decimal Form:

$1.30612244 \dots$

Mixed Number Form:

$1 \frac{15}{49}$