Finite Math Examples

$11 \cdot (\frac{1}{6}) \cdot {(\frac{5}{6})}^{10}$

Step 1

Combine $11$ and $\frac{1}{6}$ .

$\frac{11}{6} \cdot {(\frac{5}{6})}^{10}$

Step 2

Apply the product rule to $\frac{5}{6}$ .

$\frac{11}{6} \cdot \frac{5^{10}}{6^{10}}$

Step 3

Combine.

$\frac{11 \cdot 5^{10}}{6 \cdot 6^{10}}$

Step 4

Multiply $6$ by $6^{10}$ by adding the exponents.

Tap for more steps...

Step 4.1

Multiply $6$ by $6^{10}$ .

Tap for more steps...

Step 4.1.1

Raise $6$ to the power of $1$ .

$\frac{11 \cdot 5^{10}}{6^{1} \cdot 6^{10}}$

Step 4.1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{11 \cdot 5^{10}}{6^{1 + 10}}$

Step 4.2

Add $1$ and $10$ .

$\frac{11 \cdot 5^{10}}{6^{11}}$

Step 5

Raise $5$ to the power of $10$ .

$\frac{11 \cdot 9765625}{6^{11}}$

Step 6

Raise $6$ to the power of $11$ .

$\frac{11 \cdot 9765625}{362797056}$

Step 7

Multiply $11$ by $9765625$ .

$\frac{107421875}{362797056}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{107421875}{362797056}$

Decimal Form:

$0.29609356 \dots$