Simplify (3x^4)^2

${(3 x^{4})}^{2}$

Step 1

Apply the product rule to $3 x^{4}$ .

$3^{2} {(x^{4})}^{2}$

Step 2

Raise $3$ to the power of $2$ .

$9 {(x^{4})}^{2}$

Step 3

Multiply the exponents in ${(x^{4})}^{2}$ .

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

$9 x^{4 \cdot 2}$

Multiply $4$ by $2$ .

$9 x^{8}$