Simplify (2y^3)^2

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

Apply the product rule to $2 y^{3}$ .

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

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

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

Multiply the exponents in ${(y^{3})}^{2}$ .

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

$4 y^{3 \cdot 2}$

Multiply $3$ by $2$ .

$4 y^{6}$