Simplify (3n^6)^4

${(3 n^{6})}^{4}$

Step 1

Apply the product rule to $3 n^{6}$ .

$3^{4} {(n^{6})}^{4}$

Step 2

Raise $3$ to the power of $4$ .

$81 {(n^{6})}^{4}$

Step 3

Multiply the exponents in ${(n^{6})}^{4}$ .

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

$81 n^{6 \cdot 4}$

Multiply $6$ by $4$ .

$81 n^{24}$