Simplify (3xy)^2

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

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $3 x y$ .

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

Apply the product rule to $3 x$ .

$3^{2} x^{2} y^{2}$

Step 2

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

$9 x^{2} y^{2}$