Simplify (-3/4p)^3

${(- \frac{3}{4} p)}^{3}$

Combine $p$ and $\frac{3}{4}$ .

${(- \frac{p \cdot 3}{4})}^{3}$

Move $3$ to the left of $p$ .

${(- \frac{3 \cdot p}{4})}^{3}$

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

Apply the product rule to $- \frac{3 p}{4}$ .

${(- 1)}^{3} {(\frac{3 p}{4})}^{3}$

Apply the product rule to $\frac{3 p}{4}$ .

${(- 1)}^{3} \frac{{(3 p)}^{3}}{4^{3}}$

Apply the product rule to $3 p$ .

${(- 1)}^{3} \frac{3^{3} p^{3}}{4^{3}}$

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

$- \frac{3^{3} p^{3}}{4^{3}}$

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

$- \frac{27 p^{3}}{4^{3}}$

Raise $4$ to the power of $3$ .

$- \frac{27 p^{3}}{64}$