Simplify (x^2y)^2

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

Step 1

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

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

Step 2

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

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

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

Multiply $2$ by $2$ .

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