Basic Math Examples

${(\frac{2}{10})}^{3}$

Step 1

Cancel the common factor of

$2$ and

$10$ .

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Step 1.1

Factor

$2$ out of

$2$ .

${(\frac{2 (1)}{10})}^{3}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$10$ .

${(\frac{2 \cdot 1}{2 \cdot 5})}^{3}$

Step 1.2.2

Cancel the common factor.

${(\frac{2 \cdot 1}{2 \cdot 5})}^{3}$

Step 1.2.3

Rewrite the expression.

${(\frac{1}{5})}^{3}$

${(\frac{1}{5})}^{3}$

${(\frac{1}{5})}^{3}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to

$\frac{1}{5}$ .

$\frac{1^{3}}{5^{3}}$

Step 2.2

One to any power is one.

$\frac{1}{5^{3}}$

Step 2.3

Raise

$5$ to the power of

$3$ .

$\frac{1}{125}$

$\frac{1}{125}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{125}$

Decimal Form:

$0.008$

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