Evaluate (7/2)^-2 - MathMaster

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

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

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

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

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

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

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

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

$\frac{4}{49}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{49}$

Decimal Form:

$0.08163265 \dots$

Evaluate (7/2)^-2

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