Simplify (2x^2)^4

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

$16 x^{2 \cdot 4}$

Multiply $2$ by $4$ .

$16 x^{8}$