Simplify (3x^4)^4

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

Step 1

Apply the product rule to $3 x^{4}$ .

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

Step 2

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

$81 {(x^{4})}^{4}$

Step 3

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

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

$81 x^{4 \cdot 4}$

Multiply $4$ by $4$ .

$81 x^{16}$