Simplify (3x^2)^2

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

Step 1

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

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

Step 2

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

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

Step 3

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

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

$9 x^{2 \cdot 2}$

Multiply $2$ by $2$ .

$9 x^{4}$