Basic Math Examples

{(\frac{4}{6})}^{6}

${(\frac{4}{6})}^{6}$

Step 1

Cancel the common factor of

$4$ and

$6$ .

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Step 1.1

Factor

$2$ out of

$4$ .

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

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$6$ .

${(\frac{2 \cdot 2}{2 \cdot 3})}^{6}$

Step 1.2.2

Cancel the common factor.

${(\frac{2 \cdot 2}{2 \cdot 3})}^{6}$

Step 1.2.3

Rewrite the expression.

${(\frac{2}{3})}^{6}$

${(\frac{2}{3})}^{6}$

${(\frac{2}{3})}^{6}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to

$\frac{2}{3}$ .

$\frac{2^{6}}{3^{6}}$

Step 2.2

Raise

$2$ to the power of

$6$ .

$\frac{64}{3^{6}}$

Step 2.3

Raise

$3$ to the power of

$6$ .

$\frac{64}{729}$

$\frac{64}{729}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{64}{729}$

Decimal Form:

$0.08779149 \dots$

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