Evaluate f(-2)=2^-2

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

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

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

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

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

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

$- 2 f = \frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$- 2 f = \frac{1}{4}$

Decimal Form:

$- 2 f = 0.25$