Simplify the Radical Expression a fourth root of 6ab^4

$a \sqrt[4]{6 a b^{4}}$

Rewrite $6 a b^{4}$ as $b^{4} \cdot (6 a)$ .

Move $a$ .

$a \sqrt[4]{6 b^{4} a}$

Reorder $6$ and $b^{4}$ .

$a \sqrt[4]{b^{4} \cdot 6 a}$

Add parentheses.

$a \sqrt[4]{b^{4} \cdot (6 a)}$

Pull terms out from under the radical.

$a (| b | \sqrt[4]{6 a})$

Reorder factors in $a (| b | \sqrt[4]{6 a})$ .

$a | b | \sqrt[4]{6 a}$