Algebra Examples

$f (4) = 5 \cdot {(\frac{1}{3})}^{x}$

Step 1

Replace the variable $x$ with $4$ in the expression.

$f (4) = 5 \cdot {(\frac{1}{3})}^{4}$

Step 2

Simplify the result.

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Step 2.1

Simplify the expression.

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Step 2.1.1

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

$f (4) = 5 \cdot \frac{1^{4}}{3^{4}}$

Step 2.1.2

One to any power is one.

$f (4) = 5 \cdot \frac{1}{3^{4}}$

Step 2.1.3

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

$f (4) = 5 \cdot \frac{1}{81}$

$f (4) = 5 \cdot \frac{1}{81}$

Step 2.2

Combine $5$ and $\frac{1}{81}$ .

$f (4) = \frac{5}{81}$

Step 2.3

The final answer is $\frac{5}{81}$ .

$\frac{5}{81}$

$\frac{5}{81}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{81}$

Decimal Form:

$0.06172839 \dots$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$