Simplify (-3/5)^3

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

Move the negative in front of the fraction.

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

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

Apply the product rule to $- \frac{3}{5}$ .

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

Apply the product rule to $\frac{3}{5}$ .

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

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

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

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

$- \frac{27}{5^{3}}$

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

$- \frac{27}{125}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{27}{125}$

Decimal Form:

$- 0.216$