Basic Math Examples

$\sqrt[4]{4 m^{3}} \cdot (- 5 \sqrt[4]{10 m^{4}})$

Step 1

Simplify the expression.

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Step 1.1

Rewrite using the commutative property of multiplication.

$- 5 \sqrt[4]{4 m^{3}} \sqrt[4]{10 m^{4}}$

Step 1.2

Reorder $10$ and $m^{4}$ .

$- 5 \sqrt[4]{4 m^{3}} \sqrt[4]{m^{4} \cdot 10}$

Step 2

Pull terms out from under the radical.

$- 5 \sqrt[4]{4 m^{3}} (m \sqrt[4]{10})$

Step 3

Multiply $- 5 \sqrt[4]{4 m^{3}} (m \sqrt[4]{10})$ .

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Step 3.1

Combine using the product rule for radicals.

$- 5 (m \sqrt[4]{4 m^{3} \cdot 10})$

Step 3.2

Multiply $10$ by $4$ .

$- 5 (m \sqrt[4]{40 m^{3}})$

$- 5 m \sqrt[4]{40 m^{3}}$