Simplify (2x^2)^5

${(2 x^{2})}^{5}$

Step 1

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

$2^{5} {(x^{2})}^{5}$

Step 2

Raise $2$ to the power of $5$ .

$32 {(x^{2})}^{5}$

Step 3

Multiply the exponents in ${(x^{2})}^{5}$ .

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

$32 x^{2 \cdot 5}$

Multiply $2$ by $5$ .

$32 x^{10}$