Basic Math Examples

${(- \frac{2}{9})}^{3}$

Step 1

Use the power rule

${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to

$- \frac{2}{9}$ .

${(- 1)}^{3} {(\frac{2}{9})}^{3}$

Step 1.2

Apply the product rule to

$\frac{2}{9}$ .

${(- 1)}^{3} \frac{2^{3}}{9^{3}}$

Step 2

Raise

$- 1$ to the power of

$3$ .

$- \frac{2^{3}}{9^{3}}$

Step 3

Raise

$2$ to the power of

$3$ .

$- \frac{8}{9^{3}}$

Step 4

Raise

$9$ to the power of

$3$ .

$- \frac{8}{729}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{729}$

Decimal Form:

$- 0.01097393 \dots$