Evaluate the Function f(x)=1/3(6)^x for x=3

$f (x) = \frac{1}{3} {(6)}^{x}$ for $x = 3$

Step 1

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

$f (3) = \frac{1}{3} \cdot 6^{3}$

Step 2

Simplify the result.

Raise $6$ to the power of $3$ .

$f (3) = \frac{1}{3} \cdot 216$

Cancel the common factor of $3$ .

Factor $3$ out of $216$ .

$f (3) = \frac{1}{3} \cdot (3 (72))$

Cancel the common factor.

$f (3) = \frac{1}{3} \cdot (3 \cdot 72)$

Rewrite the expression.

$f (3) = 72$

The final answer is $72$ .

$72$

Step 3