Finite Math Examples

$(\frac{6}{8}) \cdot (\frac{6}{8^{2}})$

Step 1

Combine.

$\frac{6 \cdot 6}{8 \cdot 8^{2}}$

Step 2

Multiply $8$ by $8^{2}$ by adding the exponents.

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Step 2.1

Multiply $8$ by $8^{2}$ .

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Step 2.1.1

Raise $8$ to the power of $1$ .

$\frac{6 \cdot 6}{8^{1} \cdot 8^{2}}$

Step 2.1.2

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

$\frac{6 \cdot 6}{8^{1 + 2}}$

$\frac{6 \cdot 6}{8^{1 + 2}}$

Step 2.2

Add $1$ and $2$ .

$\frac{6 \cdot 6}{8^{3}}$

$\frac{6 \cdot 6}{8^{3}}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $6$ by $6$ .

$\frac{36}{8^{3}}$

Step 3.2

Raise $8$ to the power of $3$ .

$\frac{36}{512}$

$\frac{36}{512}$

Step 4

Cancel the common factor of $36$ and $512$ .

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Step 4.1

Factor $4$ out of $36$ .

$\frac{4 (9)}{512}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $512$ .

$\frac{4 \cdot 9}{4 \cdot 128}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot 9}{4 \cdot 128}$

Step 4.2.3

Rewrite the expression.

$\frac{9}{128}$

$\frac{9}{128}$

$\frac{9}{128}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{128}$

Decimal Form:

$0.0703125$

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