Evaluate the Function f(4)=5*(1/3)^x

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

Step 1

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

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

Step 2

Simplify the result.

Simplify the expression.

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

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

One to any power is one.

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

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

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

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

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

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

$\frac{5}{81}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{81}$

Decimal Form:

$0.06172839 \dots$

Step 4