Simplify (q^3r)^4

${(q^{3} r)}^{4}$

Step 1

Apply the product rule to $q^{3} r$ .

${(q^{3})}^{4} r^{4}$

Step 2

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

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

$q^{3 \cdot 4} r^{4}$

Multiply $3$ by $4$ .

$q^{12} r^{4}$