Algebra Examples

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

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Step 2.1

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

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

Step 2.2

Cancel the common factor of $3$ .

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Step 2.2.1

Factor $3$ out of $216$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

$f (3) = 72$

Step 2.3

The final answer is $72$ .

$72$

Step 3