Simplify (4xy)^3

${(4 x y)}^{3}$

Step 1

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

Apply the product rule to $4 x y$ .

${(4 x)}^{3} y^{3}$

Apply the product rule to $4 x$ .

$4^{3} x^{3} y^{3}$

Step 2

Raise $4$ to the power of $3$ .

$64 x^{3} y^{3}$