Simplify (2y^2)^3

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

Step 1

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

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

Step 2

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

$8 {(y^{2})}^{3}$

Step 3

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

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

$8 y^{2 \cdot 3}$

Multiply $2$ by $3$ .

$8 y^{6}$