Finite Math Examples

$(\frac{1}{6}) \cdot {(\frac{5}{6})}^{9}$

Step 1

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

$\frac{1}{6} \cdot \frac{5^{9}}{6^{9}}$

Step 2

Combine.

$\frac{1 \cdot 5^{9}}{6 \cdot 6^{9}}$

Step 3

Multiply $6$ by $6^{9}$ by adding the exponents.

Tap for more steps...

Step 3.1

Multiply $6$ by $6^{9}$ .

Tap for more steps...

Step 3.1.1

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

$\frac{1 \cdot 5^{9}}{6^{1} \cdot 6^{9}}$

Step 3.1.2

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

$\frac{1 \cdot 5^{9}}{6^{1 + 9}}$

$\frac{1 \cdot 5^{9}}{6^{1 + 9}}$

Step 3.2

Add $1$ and $9$ .

$\frac{1 \cdot 5^{9}}{6^{10}}$

$\frac{1 \cdot 5^{9}}{6^{10}}$

Step 4

Multiply $5^{9}$ by $1$ .

$\frac{5^{9}}{6^{10}}$

Step 5

Raise $5$ to the power of $9$ .

$\frac{1953125}{6^{10}}$

Step 6

Raise $6$ to the power of $10$ .

$\frac{1953125}{60466176}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1953125}{60466176}$

Decimal Form:

$0.03230111 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$