Simplify (3y^4)^2

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

$9 y^{4 \cdot 2}$

Multiply $4$ by $2$ .

$9 y^{8}$