Simplify (xy^3)^2

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

Step 1

Apply the product rule to $x y^{3}$ .

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

Step 2

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

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

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

Multiply $3$ by $2$ .

$x^{2} y^{6}$