Evaluate the Function f(-2)=(1/3)^-2

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

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

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

Simplify the result.

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

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

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

$f (- 2) = 9$

The final answer is $9$ .

$9$