Finite Math Examples

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

Step 1

Combine $7$ and $\frac{1}{6}$ .

$\frac{7}{6} \cdot {(\frac{5}{6})}^{6}$

Step 2

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

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

Step 3

Combine.

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

Step 4

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

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Step 4.1

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

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Step 4.1.1

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

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

Step 4.1.2

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

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

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

Step 4.2

Add $1$ and $6$ .

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

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

Step 5

Raise $5$ to the power of $6$ .

$\frac{7 \cdot 15625}{6^{7}}$

Step 6

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

$\frac{7 \cdot 15625}{279936}$

Step 7

Multiply $7$ by $15625$ .

$\frac{109375}{279936}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{109375}{279936}$

Decimal Form:

$0.39071430 \dots$

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