Algebra Examples

$\sqrt[7]{x^{2} x^{5}}$

Step 1

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

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Step 1.1

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

$\sqrt[7]{x^{2 + 5}}$

Step 1.2

Add $2$ and $5$ .

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

Step 2

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

$x$