Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{1}{3}$ .

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

Step 1.2

One to any power is one.

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

Step 1.3

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

$\frac{1}{27} + {(\frac{1}{3})}^{3}$

Step 1.4

Apply the product rule to $\frac{1}{3}$ .

$\frac{1}{27} + \frac{1^{3}}{3^{3}}$

Step 1.5

One to any power is one.

$\frac{1}{27} + \frac{1}{3^{3}}$

Step 1.6

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

$\frac{1}{27} + \frac{1}{27}$

$\frac{1}{27} + \frac{1}{27}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{1 + 1}{27}$

Step 2.2

Add $1$ and $1$ .

$\frac{2}{27}$

$\frac{2}{27}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{27}$

Decimal Form:

$0.\overline{074}$

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