Simplify (2xy)^2

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

Step 1

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

Apply the product rule to $2 x y$ .

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

Apply the product rule to $2 x$ .

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

Step 2

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

$4 x^{2} y^{2}$