Pre-Algebra Examples

$\frac{\sqrt[3]{8 x^{4} y^{6}}}{\sqrt[3]{2 x^{4} y^{6}}}$

Step 1

Combine $\sqrt[3]{8 x^{4} y^{6}}$ and $\sqrt[3]{2 x^{4} y^{6}}$ into a single radical.

$\sqrt[3]{\frac{8 x^{4} y^{6}}{2 x^{4} y^{6}}}$

Step 2

Reduce the expression $\frac{8 x^{4} y^{6}}{2 x^{4} y^{6}}$ by cancelling the common factors.

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Step 2.1

Factor $2$ out of $8 x^{4} y^{6}$ .

$\sqrt[3]{\frac{2 (4 x^{4} y^{6})}{2 x^{4} y^{6}}}$

Step 2.2

Factor $2$ out of $2 x^{4} y^{6}$ .

$\sqrt[3]{\frac{2 (4 x^{4} y^{6})}{2 (x^{4} y^{6})}}$

Step 2.3

Cancel the common factor.

$\sqrt[3]{\frac{2 (4 x^{4} y^{6})}{2 (x^{4} y^{6})}}$

Step 2.4

Rewrite the expression.

$\sqrt[3]{\frac{4 x^{4} y^{6}}{x^{4} y^{6}}}$

Step 3

Cancel the common factor of $x^{4}$ .

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Step 3.1

Cancel the common factor.

$\sqrt[3]{\frac{4 x^{4} y^{6}}{x^{4} y^{6}}}$

Step 3.2

Rewrite the expression.

$\sqrt[3]{\frac{4 y^{6}}{y^{6}}}$

Step 4

Cancel the common factor of $y^{6}$ .

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Step 4.1

Cancel the common factor.

$\sqrt[3]{\frac{4 y^{6}}{y^{6}}}$

Step 4.2

Divide $4$ by $1$ .

$\sqrt[3]{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt[3]{4}$

Decimal Form:

$1.58740105 \dots$