Finite Math Examples

${(\frac{5}{11})}^{2} (1 - \frac{5}{11})$

Step 1

Apply the product rule to $\frac{5}{11}$ .

$\frac{5^{2}}{11^{2}} (1 - \frac{5}{11})$

Step 2

Raise $5$ to the power of $2$ .

$\frac{25}{11^{2}} (1 - \frac{5}{11})$

Step 3

Raise $11$ to the power of $2$ .

$\frac{25}{121} (1 - \frac{5}{11})$

Step 4

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

$\frac{25}{121} (\frac{11}{11} - \frac{5}{11})$

Step 5

Combine the numerators over the common denominator.

$\frac{25}{121} \cdot \frac{11 - 5}{11}$

Step 6

Subtract $5$ from $11$ .

$\frac{25}{121} \cdot \frac{6}{11}$

Step 7

Multiply $\frac{25}{121} \cdot \frac{6}{11}$ .

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Step 7.1

Multiply $\frac{25}{121}$ by $\frac{6}{11}$ .

$\frac{25 \cdot 6}{121 \cdot 11}$

Step 7.2

Multiply $25$ by $6$ .

$\frac{150}{121 \cdot 11}$

Step 7.3

Multiply $121$ by $11$ .

$\frac{150}{1331}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{150}{1331}$

Decimal Form:

$0.11269722 \dots$