Precalculus Examples

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

Step 1

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

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

Step 2

Simplify the result.

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Step 2.1

Apply the product rule to $\frac{1}{3}$ .

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

Step 2.2

One to any power is one.

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

Step 2.3

Raise $3$ to the power of $2$ .

$f (2) = \frac{1}{9}$

Step 2.4

The final answer is $\frac{1}{9}$ .

$\frac{1}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{9}$

Decimal Form:

$0.\overline{1}$

Step 4