Evaluate (2x^2)^3

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

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

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

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

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

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

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

$8 x^{2 \cdot 3}$

Multiply $2$ by $3$ .

$8 x^{6}$