Simplify 2(3xy)^3

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

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

Apply the product rule to $3 x y$ .

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

Apply the product rule to $3 x$ .

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

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

$2 (27 x^{3} y^{3})$

Multiply $27$ by $2$ .

$54 x^{3} y^{3}$