Simplify (x^6y)^2

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

Step 1

Apply the product rule to $x^{6} y$ .

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

Step 2

Multiply the exponents in ${(x^{6})}^{2}$ .

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

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

Multiply $6$ by $2$ .

$x^{12} y^{2}$