Simplify 14( fourth root of a^5b^2c^4)-7ac fourth root of ab^2

$14 (\sqrt[4]{a^{5} b^{2} c^{4}}) - 7 a c \sqrt[4]{a b^{2}}$

Simplify each term.

Rewrite $a^{5} b^{2} c^{4}$ as ${(a c)}^{4} (a b^{2})$ .

Factor out $a^{4}$ .

$14 \sqrt[4]{a^{4} a b^{2} c^{4}} - 7 a c \sqrt[4]{a b^{2}}$

Move $b^{2}$ .

$14 \sqrt[4]{a^{4} a c^{4} b^{2}} - 7 a c \sqrt[4]{a b^{2}}$

Move $a$ .

$14 \sqrt[4]{a^{4} c^{4} a b^{2}} - 7 a c \sqrt[4]{a b^{2}}$

Rewrite $a^{4} c^{4}$ as ${(a c)}^{4}$ .

$14 \sqrt[4]{{(a c)}^{4} a b^{2}} - 7 a c \sqrt[4]{a b^{2}}$

Add parentheses.

$14 \sqrt[4]{{(a c)}^{4} (a b^{2})} - 7 a c \sqrt[4]{a b^{2}}$

Pull terms out from under the radical.

$14 a c \sqrt[4]{a b^{2}} - 7 a c \sqrt[4]{a b^{2}}$

Subtract $7 a c \sqrt[4]{a b^{2}}$ from $14 a c \sqrt[4]{a b^{2}}$ .

$7 a c \sqrt[4]{a b^{2}}$