Simplify (x^2y)^3

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

Step 1

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

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

Step 2

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

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

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

Multiply $2$ by $3$ .

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