Simplify (2xy)^3

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

Step 1

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

Apply the product rule to $2 x y$ .

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

Apply the product rule to $2 x$ .

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

Step 2

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

$8 x^{3} y^{3}$