Simplify (3n^4)^2

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

$9 n^{4 \cdot 2}$

Multiply $4$ by $2$ .

$9 n^{8}$