Evaluate (4x^4)^2

${(4 x^{4})}^{2}$

Apply the product rule to $4 x^{4}$ .

$4^{2} {(x^{4})}^{2}$

Raise $4$ to the power of $2$ .

$16 {(x^{4})}^{2}$

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

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

$16 x^{4 \cdot 2}$

Multiply $4$ by $2$ .

$16 x^{8}$