Simplify the Radical Expression fourth root of 81(x+4)^4

$\sqrt[4]{81 {(x + 4)}^{4}}$

Rewrite $81 {(x + 4)}^{4}$ as ${(3 (x + 4))}^{4}$ .

$\sqrt[4]{{(3 (x + 4))}^{4}}$

Pull terms out from under the radical.

$| 3 (x + 4) |$

Apply the distributive property.

$| 3 x + 3 \cdot 4 |$

Multiply $3$ by $4$ .

$| 3 x + 12 |$