Simplify (-3x^3)^3

${(- 3 x^{3})}^{3}$

Step 1

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

${(- 3)}^{3} {(x^{3})}^{3}$

Step 2

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

$- 27 {(x^{3})}^{3}$

Step 3

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

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

$- 27 x^{3 \cdot 3}$

Multiply $3$ by $3$ .

$- 27 x^{9}$