Finite Math Examples

${(1 - \frac{6}{11})}^{2}$

Step 1

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

${(\frac{11}{11} - \frac{6}{11})}^{2}$

Step 2

Combine the numerators over the common denominator.

${(\frac{11 - 6}{11})}^{2}$

Step 3

Subtract $6$ from $11$ .

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

Step 4

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

$\frac{5^{2}}{11^{2}}$

Step 5

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

$\frac{25}{11^{2}}$

Step 6

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

$\frac{25}{121}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{121}$

Decimal Form:

$0.20661157 \dots$