Evaluate (-x^5)^2

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

Step 1

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

${(- 1)}^{2} {(x^{5})}^{2}$

Step 2

Raise $- 1$ to the power of $2$ .

$1 {(x^{5})}^{2}$

Step 3

Multiply ${(x^{5})}^{2}$ by $1$ .

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

Step 4

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

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

$x^{5 \cdot 2}$

Multiply $5$ by $2$ .

$x^{10}$