Simplify (3x^3)^4

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

Step 1

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

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

Step 2

Raise $3$ to the power of $4$ .

$81 {(x^{3})}^{4}$

Step 3

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

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

$81 x^{3 \cdot 4}$

Multiply $3$ by $4$ .

$81 x^{12}$