Algebra Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

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

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

Step 2.2

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

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

Step 2.3

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