Simplify (4xy)^2

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

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

Apply the product rule to $4 x y$ .

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

Apply the product rule to $4 x$ .

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

Raise $4$ to the power of $2$ .

$16 x^{2} y^{2}$