Evaluate the Function f(-4)=2^x

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

Step 1

Replace the variable $x$ with $- 4$ in the expression.

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

Step 2

Simplify the result.

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

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

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

$f (- 4) = \frac{1}{16}$

The final answer is $\frac{1}{16}$ .

$\frac{1}{16}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$

Step 4