Algebra Examples

$\sqrt[6]{10^{5}} \cdot \sqrt[6]{10}$

Step 1

Combine using the product rule for radicals.

$\sqrt[6]{10^{5} \cdot 10}$

Step 2

Simplify the expression.

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Step 2.1

Raise $10$ to the power of $5$ .

$\sqrt[6]{100000 \cdot 10}$

Step 2.2

Multiply $100000$ by $10$ .

$\sqrt[6]{1000000}$

Step 2.3

Rewrite $1000000$ as $10^{6}$ .

$\sqrt[6]{10^{6}}$

Step 2.4

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

$10$