Evaluate (5/7)^-2

${(\frac{5}{7})}^{- 2}$

Step 1

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

${(\frac{7}{5})}^{2}$

Step 2

Apply the product rule to $\frac{7}{5}$ .

$\frac{7^{2}}{5^{2}}$

Step 3

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

$\frac{49}{5^{2}}$

Step 4

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

$\frac{49}{25}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{49}{25}$

Decimal Form:

$1.96$

Mixed Number Form:

$1 \frac{24}{25}$