Simplify (-2/5)^3

${(- \frac{2}{5})}^{3}$

Step 1

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

Apply the product rule to $- \frac{2}{5}$ .

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

Apply the product rule to $\frac{2}{5}$ .

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

Step 2

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

$- \frac{2^{3}}{5^{3}}$

Step 3

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

$- \frac{8}{5^{3}}$

Step 4

Raise $5$ to the power of $3$ .

$- \frac{8}{125}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{125}$

Decimal Form:

$- 0.064$