Simplify (7/2)^-2

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

Step 1

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

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

Step 2

Apply the product rule to $\frac{2}{7}$ .

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

Step 3

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

$\frac{4}{7^{2}}$

Step 4

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

$\frac{4}{49}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{49}$

Decimal Form:

$0.08163265 \dots$