Basic Math Examples

{(1 - \frac{2}{3})}^{3}

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

Step 1

Write

1

$1$ as a fraction with a common denominator.

{(\frac{3}{3} - \frac{2}{3})}^{3}

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

Step 2

Combine the numerators over the common denominator.

{(\frac{3 - 2}{3})}^{3}

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

Step 3

Subtract

2

$2$ from

3

$3$ .

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

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

Step 4

Apply the product rule to

\frac{1}{3}

$\frac{1}{3}$ .

\frac{1^{3}}{3^{3}}

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

Step 5

One to any power is one.

\frac{1}{3^{3}}

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

Step 6

Raise

3

$3$ to the power of

3

$3$ .

\frac{1}{27}

$\frac{1}{27}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{1}{27}

$\frac{1}{27}$

Decimal Form:

0.\overline{037}

$0.\overline{037}$