Evaluate f(-2)=4^-2

$f (- 2) = 4^{- 2}$

Step 1

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

$- 2 f = 4^{- 2}$

Step 2

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

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

Step 3

Raise $4$ to the power of $2$ .

$- 2 f = \frac{1}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- 2 f = \frac{1}{16}$

Decimal Form:

$- 2 f = 0.0625$