Evaluate (2/5)^-2

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

Step 1

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

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

Step 2

Apply the product rule to $\frac{5}{2}$ .

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

Step 3

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

$\frac{25}{2^{2}}$

Step 4

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

$\frac{25}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4}$

Decimal Form:

$6.25$

Mixed Number Form:

$6 \frac{1}{4}$