Simplify (-6/y)^3

${(- \frac{6}{y})}^{3}$

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

Apply the product rule to $- \frac{6}{y}$ .

${(- 1)}^{3} {(\frac{6}{y})}^{3}$

Apply the product rule to $\frac{6}{y}$ .

${(- 1)}^{3} \frac{6^{3}}{y^{3}}$

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

$- \frac{6^{3}}{y^{3}}$

Raise $6$ to the power of $3$ .

$- \frac{216}{y^{3}}$