Evaluate the Function f(2)=1/3*4^x

$f (2) = \frac{1}{3} \cdot 4^{x}$

Step 1

Replace the variable $x$ with $2$ in the expression.

$f (2) = \frac{1}{3} \cdot 4^{2}$

Step 2

Simplify the result.

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

$f (2) = \frac{1}{3} \cdot 16$

Combine $\frac{1}{3}$ and $16$ .

$f (2) = \frac{16}{3}$

The final answer is $\frac{16}{3}$ .

$\frac{16}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{3}$

Decimal Form:

$5.\overline{3}$

Mixed Number Form:

$5 \frac{1}{3}$

Step 4