Evaluate the Function f(-2)=3^-2

$f (- 2) = 3^{- 2}$

Step 1

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

$f (- 2) = 3^{- 2}$

Step 2

Simplify the result.

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

$f (- 2) = \frac{1}{3^{2}}$

Raise $3$ to the power of $2$ .

$f (- 2) = \frac{1}{9}$

The final answer is $\frac{1}{9}$ .

$\frac{1}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$

Step 4