Simplify (2x^3)^5

${(2 x^{3})}^{5}$

Step 1

Apply the product rule to $2 x^{3}$ .

$2^{5} {(x^{3})}^{5}$

Step 2

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

$32 {(x^{3})}^{5}$

Step 3

Multiply the exponents in ${(x^{3})}^{5}$ .

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

$32 x^{3 \cdot 5}$

Multiply $3$ by $5$ .

$32 x^{15}$