Pre-Algebra Examples

$\frac{x^{6} y^{14}}{x^{4} y^{9}}$

Step 1

Cancel the common factor of $x^{6}$ and $x^{4}$ .

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Step 1.1

Factor $x^{4}$ out of $x^{6} y^{14}$ .

$\frac{x^{4} (x^{2} y^{14})}{x^{4} y^{9}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $x^{4}$ out of $x^{4} y^{9}$ .

$\frac{x^{4} (x^{2} y^{14})}{x^{4} (y^{9})}$

Step 1.2.2

Cancel the common factor.

$\frac{x^{4} (x^{2} y^{14})}{x^{4} y^{9}}$

Step 1.2.3

Rewrite the expression.

$\frac{x^{2} y^{14}}{y^{9}}$

$\frac{x^{2} y^{14}}{y^{9}}$

$\frac{x^{2} y^{14}}{y^{9}}$

Step 2

Cancel the common factor of $y^{14}$ and $y^{9}$ .

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Step 2.1

Factor $y^{9}$ out of $x^{2} y^{14}$ .

$\frac{y^{9} (x^{2} y^{5})}{y^{9}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Multiply by $1$ .

$\frac{y^{9} (x^{2} y^{5})}{y^{9} \cdot 1}$

Step 2.2.2

Cancel the common factor.

$\frac{y^{9} (x^{2} y^{5})}{y^{9} \cdot 1}$

Step 2.2.3

Rewrite the expression.

$\frac{x^{2} y^{5}}{1}$

Step 2.2.4

Divide $x^{2} y^{5}$ by $1$ .

$x^{2} y^{5}$

$x^{2} y^{5}$

$x^{2} y^{5}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$