Algebra Examples

$\sqrt[3]{7} \cdot \sqrt[3]{49}$

Step 1

Combine using the product rule for radicals.

$\sqrt[3]{7 \cdot 49}$

Step 2

Write the expression using exponents.

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Step 2.1

Multiply $7$ by $49$ .

$\sqrt[3]{343}$

Step 2.2

Rewrite $343$ as $7^{3}$ .

$\sqrt[3]{7^{3}}$

Step 3

Pull terms out from under the radical, assuming real numbers.

$7$