Simplify fourth root of 125m* fourth root of 35

$\sqrt[4]{125 m} \cdot \sqrt[4]{35}$

Multiply $\sqrt[4]{125 m} \sqrt[4]{35}$ .

Combine using the product rule for radicals.

$\sqrt[4]{125 m \cdot 35}$

Multiply $35$ by $125$ .

$\sqrt[4]{4375 m}$

$\sqrt[4]{4375 m}$

Rewrite $4375 m$ as $5^{4} \cdot (7 m)$ .

Factor $625$ out of $4375$ .

$\sqrt[4]{625 (7) m}$

Rewrite $625$ as $5^{4}$ .

$\sqrt[4]{5^{4} \cdot 7 m}$

Add parentheses.

$\sqrt[4]{5^{4} \cdot (7 m)}$

$\sqrt[4]{5^{4} \cdot (7 m)}$

Pull terms out from under the radical.

$5 \sqrt[4]{7 m}$

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