Simplify (x^2y)^4

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

Step 1

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

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

Step 2

Multiply the exponents in ${(x^{2})}^{4}$ .

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

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

Multiply $2$ by $4$ .

$x^{8} y^{4}$