Simplify (-2x^5)^5

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

Step 1

Apply the product rule to $- 2 x^{5}$ .

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

Step 2

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

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

Step 3

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

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

$- 32 x^{5 \cdot 5}$

Multiply $5$ by $5$ .

$- 32 x^{25}$