Simplify (-x^3)^4

${(- x^{3})}^{4}$

Step 1

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

${(- 1)}^{4} {(x^{3})}^{4}$

Step 2

Raise $- 1$ to the power of $4$ .

$1 {(x^{3})}^{4}$

Step 3

Multiply ${(x^{3})}^{4}$ by $1$ .

${(x^{3})}^{4}$

Step 4

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

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

$x^{3 \cdot 4}$

Multiply $3$ by $4$ .

$x^{12}$