Simplify (-2/3)^3

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

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

Apply the product rule to $- \frac{2}{3}$ .

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

Apply the product rule to $\frac{2}{3}$ .

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

Raise $- 1$ to the power of $3$ .

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

Raise $2$ to the power of $3$ .

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

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

$- \frac{8}{27}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{27}$

Decimal Form:

$- 0.\overline{296}$