Simplify (-3x^2)^3

${(- 3 x^{2})}^{3}$

Step 1

Apply the product rule to $- 3 x^{2}$ .

${(- 3)}^{3} {(x^{2})}^{3}$

Step 2

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

$- 27 {(x^{2})}^{3}$

Step 3

Multiply the exponents in ${(x^{2})}^{3}$ .

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

$- 27 x^{2 \cdot 3}$

Multiply $2$ by $3$ .

$- 27 x^{6}$