Evaluate (xy^2)^3

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

Apply the product rule to $x y^{2}$ .

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

Multiply the exponents in ${(y^{2})}^{3}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

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

Multiply $2$ by $3$ .

$x^{3} y^{6}$