Algebra Examples

$\sqrt[5]{6^{2}} \cdot \sqrt[5]{6^{3}}$

Step 1

Combine using the product rule for radicals.

$\sqrt[5]{6^{2} \cdot 6^{3}}$

Step 2

Multiply $6^{2}$ by $6^{3}$ by adding the exponents.

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Step 2.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\sqrt[5]{6^{2 + 3}}$

Step 2.2

Add $2$ and $3$ .

$\sqrt[5]{6^{5}}$

Step 3

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

$6$