Evaluate (2^2y^3)^5

${(2^{2} y^{3})}^{5}$

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

${(4 y^{3})}^{5}$

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

$4^{5} {(y^{3})}^{5}$

Raise $4$ to the power of $5$ .

$1024 {(y^{3})}^{5}$

Multiply the exponents in ${(y^{3})}^{5}$ .

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

$1024 y^{3 \cdot 5}$

Multiply $3$ by $5$ .

$1024 y^{15}$