Evaluate the Function f(4)=1/3*4^x

$f (4) = \frac{1}{3} \cdot 4^{x}$

Step 1

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

$f (4) = \frac{1}{3} \cdot 4^{4}$

Step 2

Simplify the result.

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

$f (4) = \frac{1}{3} \cdot 256$

Combine $\frac{1}{3}$ and $256$ .

$f (4) = \frac{256}{3}$

The final answer is $\frac{256}{3}$ .

$\frac{256}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{256}{3}$

Decimal Form:

$85.\overline{3}$

Mixed Number Form:

$85 \frac{1}{3}$

Step 4