Evaluate the Function F(-2)=5^-2

$F (- 2) = 5^{- 2}$

Step 1

Replace the variable $- 2$ with $- 2$ in the expression.

$F (- 2) = 5^{- 2}$

Step 2

Simplify the result.

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$F (- 2) = \frac{1}{5^{2}}$

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

$F (- 2) = \frac{1}{25}$

The final answer is $\frac{1}{25}$ .

$\frac{1}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{25}$

Decimal Form:

$0.04$

Step 4