Finite Math Examples

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

Step 1

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

$10 \cdot \frac{1}{6} \cdot \frac{5}{46656}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $10 \cdot \frac{1}{6}$ .

$2 (5 \cdot \frac{1}{6}) \cdot \frac{5}{46656}$

Step 2.2

Factor $2$ out of $46656$ .

$2 (5 \cdot \frac{1}{6}) \cdot \frac{5}{2 (23328)}$

Step 2.3

Cancel the common factor.

$2 (5 \cdot \frac{1}{6}) \cdot \frac{5}{2 \cdot 23328}$

Step 2.4

Rewrite the expression.

$5 \cdot \frac{1}{6} \cdot \frac{5}{23328}$

Step 3

Combine $5$ and $\frac{1}{6}$ .

$\frac{5}{6} \cdot \frac{5}{23328}$

Step 4

Multiply $\frac{5}{6}$ by $\frac{5}{23328}$ .

$\frac{5 \cdot 5}{6 \cdot 23328}$

Step 5

Multiply.

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Step 5.1

Multiply $5$ by $5$ .

$\frac{25}{6 \cdot 23328}$

Step 5.2

Multiply $6$ by $23328$ .

$\frac{25}{139968}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{139968}$

Decimal Form:

$0.00017861 \dots$