Finite Math Examples

$3 \cdot ({(\frac{3}{8})}^{2} (1 - \frac{3}{8}))$

Step 1

Apply the product rule to $\frac{3}{8}$ .

$3 \cdot (\frac{3^{2}}{8^{2}} (1 - \frac{3}{8}))$

Step 2

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

$3 \cdot (\frac{9}{8^{2}} (1 - \frac{3}{8}))$

Step 3

Raise $8$ to the power of $2$ .

$3 \cdot (\frac{9}{64} (1 - \frac{3}{8}))$

Step 4

Write $1$ as a fraction with a common denominator.

$3 \cdot (\frac{9}{64} (\frac{8}{8} - \frac{3}{8}))$

Step 5

Combine the numerators over the common denominator.

$3 \cdot (\frac{9}{64} \cdot \frac{8 - 3}{8})$

Step 6

Subtract $3$ from $8$ .

$3 \cdot (\frac{9}{64} \cdot \frac{5}{8})$

Step 7

Multiply $\frac{9}{64} \cdot \frac{5}{8}$ .

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Step 7.1

Multiply $\frac{9}{64}$ by $\frac{5}{8}$ .

$3 \cdot \frac{9 \cdot 5}{64 \cdot 8}$

Step 7.2

Multiply $9$ by $5$ .

$3 \cdot \frac{45}{64 \cdot 8}$

Step 7.3

Multiply $64$ by $8$ .

$3 \cdot \frac{45}{512}$

Step 8

Multiply $3 (\frac{45}{512})$ .

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Step 8.1

Combine $3$ and $\frac{45}{512}$ .

$\frac{3 \cdot 45}{512}$

Step 8.2

Multiply $3$ by $45$ .

$\frac{135}{512}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{135}{512}$

Decimal Form:

$0.26367187 \dots$