Simplify Simplify (-5p^3)^3

Simplify ${(- 5 p^{3})}^{3}$

Apply the product rule to $- 5 p^{3}$ .

${(- 5)}^{3} {(p^{3})}^{3}$

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

$- 125 {(p^{3})}^{3}$

Multiply the exponents in ${(p^{3})}^{3}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- 125 p^{3 \cdot 3}$

Multiply $3$ by $3$ .

$- 125 p^{9}$