Simplify (3x^5)^2

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

Step 1

Apply the product rule to $3 x^{5}$ .

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

Step 2

Raise $3$ to the power of $2$ .

$9 {(x^{5})}^{2}$

Step 3

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

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

$9 x^{5 \cdot 2}$

Multiply $5$ by $2$ .

$9 x^{10}$