Simplify (xy^3)^4

${(x y^{3})}^{4}$

Step 1

Apply the product rule to $x y^{3}$ .

$x^{4} {(y^{3})}^{4}$

Step 2

Multiply the exponents in ${(y^{3})}^{4}$ .

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

$x^{4} y^{3 \cdot 4}$

Multiply $3$ by $4$ .

$x^{4} y^{12}$