Simplify (xy^2)^2

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

Step 1

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

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

Step 2

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

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

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

Multiply $2$ by $2$ .

$x^{2} y^{4}$