Evaluate f(-2)=(1/2)^-2

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

Step 1

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

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

Step 2

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

$- 2 f = 2^{2}$

Step 3

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

$- 2 f = 4$