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

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

Step 1

Replace the variable $x$ with $3$ in the expression.

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

Step 2

Simplify the result.

Raise $4$ to the power of $3$ .

$f (3) = \frac{1}{3} \cdot 64$

Combine $\frac{1}{3}$ and $64$ .

$f (3) = \frac{64}{3}$

The final answer is $\frac{64}{3}$ .

$\frac{64}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{3}$

Decimal Form:

$21.\overline{3}$

Mixed Number Form:

$21 \frac{1}{3}$

Step 4