Finite Math Examples

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

Step 1

Combine.

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

Step 2

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

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Step 2.1

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

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Step 2.1.1

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

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

Step 2.1.2

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

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

Step 2.2

Add $6$ and $1$ .

$\frac{5 \cdot 1}{6^{7}}$

Step 3

Multiply $5$ by $1$ .

$\frac{5}{6^{7}}$

Step 4

Raise $6$ to the power of $7$ .

$\frac{5}{279936}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{279936}$

Decimal Form:

$1.78612254 \cdot 10^{- 5}$