Simplify (-5a^4)^3

${(- 5 a^{4})}^{3}$

Step 1

Apply the product rule to $- 5 a^{4}$ .

${(- 5)}^{3} {(a^{4})}^{3}$

Step 2

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

$- 125 {(a^{4})}^{3}$

Step 3

Multiply the exponents in ${(a^{4})}^{3}$ .

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

$- 125 a^{4 \cdot 3}$

Multiply $4$ by $3$ .

$- 125 a^{12}$