Calculus Examples

$\frac{\sqrt[6]{x^{8}}}{\sqrt[6]{x^{2}}}$

Step 1

Combine $\sqrt[6]{x^{8}}$ and $\sqrt[6]{x^{2}}$ into a single radical.

$\sqrt[6]{\frac{x^{8}}{x^{2}}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Reduce the expression $\frac{x^{8}}{x^{2}}$ by cancelling the common factors.

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Step 2.1.1

Factor $x^{2}$ out of $x^{8}$ .

$\sqrt[6]{\frac{x^{2} x^{6}}{x^{2}}}$

Step 2.1.2

Multiply by $1$ .

$\sqrt[6]{\frac{x^{2} x^{6}}{x^{2} \cdot 1}}$

Step 2.1.3

Cancel the common factor.

$\sqrt[6]{\frac{x^{2} x^{6}}{x^{2} \cdot 1}}$

Step 2.1.4

Rewrite the expression.

$\sqrt[6]{\frac{x^{6}}{1}}$

Step 2.2

Divide $x^{6}$ by $1$ .

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

Step 3

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

$x$