Pre-Algebra Examples

$\frac{48 x^{32} y^{6}}{8 x^{2} y}$

Step 1

Cancel the common factor of $48$ and $8$ .

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Step 1.1

Factor $8$ out of $48 x^{32} y^{6}$ .

$\frac{8 (6 x^{32} y^{6})}{8 x^{2} y}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

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

$\frac{8 (6 x^{32} y^{6})}{8 (x^{2} y)}$

Step 1.2.2

Cancel the common factor.

$\frac{8 (6 x^{32} y^{6})}{8 (x^{2} y)}$

Step 1.2.3

Rewrite the expression.

$\frac{6 x^{32} y^{6}}{x^{2} y}$

$\frac{6 x^{32} y^{6}}{x^{2} y}$

$\frac{6 x^{32} y^{6}}{x^{2} y}$

Step 2

Cancel the common factor of $x^{32}$ and $x^{2}$ .

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Step 2.1

Factor $x^{2}$ out of $6 x^{32} y^{6}$ .

$\frac{x^{2} (6 x^{30} y^{6})}{x^{2} y}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

$\frac{x^{2} (6 x^{30} y^{6})}{x^{2} (y)}$

Step 2.2.2

Cancel the common factor.

$\frac{x^{2} (6 x^{30} y^{6})}{x^{2} y}$

Step 2.2.3

Rewrite the expression.

$\frac{6 x^{30} y^{6}}{y}$

$\frac{6 x^{30} y^{6}}{y}$

$\frac{6 x^{30} y^{6}}{y}$

Step 3

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

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Step 3.1

Factor $y$ out of $6 x^{30} y^{6}$ .

$\frac{y (6 x^{30} y^{5})}{y}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Raise $y$ to the power of $1$ .

$\frac{y (6 x^{30} y^{5})}{y^{1}}$

Step 3.2.2

Factor $y$ out of $y^{1}$ .

$\frac{y (6 x^{30} y^{5})}{y \cdot 1}$

Step 3.2.3

Cancel the common factor.

$\frac{y (6 x^{30} y^{5})}{y \cdot 1}$

Step 3.2.4

Rewrite the expression.

$\frac{6 x^{30} y^{5}}{1}$

Step 3.2.5

Divide $6 x^{30} y^{5}$ by $1$ .

$6 x^{30} y^{5}$

$6 x^{30} y^{5}$

$6 x^{30} y^{5}$

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