Evaluate f(-2)=3^-2

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

Move $- 2$ to the left of $f$ .

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

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

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

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

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$- 2 f = 0.\overline{1}$