Algebra Examples

$\frac{45 e^{6} f^{8}}{5 e f^{2}}$

Step 1

Cancel the common factor of $45$ and $5$ .

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Step 1.1

Factor $5$ out of $45 e^{6} f^{8}$ .

$\frac{5 (9 e^{6} f^{8})}{5 e f^{2}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $5 e f^{2}$ .

$\frac{5 (9 e^{6} f^{8})}{5 (e f^{2})}$

Step 1.2.2

Cancel the common factor.

$\frac{5 (9 e^{6} f^{8})}{5 (e f^{2})}$

Step 1.2.3

Rewrite the expression.

$\frac{9 e^{6} f^{8}}{e f^{2}}$

$\frac{9 e^{6} f^{8}}{e f^{2}}$

$\frac{9 e^{6} f^{8}}{e f^{2}}$

Step 2

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

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Step 2.1

Factor $e$ out of $9 e^{6} f^{8}$ .

$\frac{e (9 e^{5} f^{8})}{e f^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $e$ out of $e f^{2}$ .

$\frac{e (9 e^{5} f^{8})}{e (f^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{e (9 e^{5} f^{8})}{e f^{2}}$

Step 2.2.3

Rewrite the expression.

$\frac{9 e^{5} f^{8}}{f^{2}}$

$\frac{9 e^{5} f^{8}}{f^{2}}$

$\frac{9 e^{5} f^{8}}{f^{2}}$

Step 3

Cancel the common factor of $f^{8}$ and $f^{2}$ .

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Step 3.1

Factor $f^{2}$ out of $9 e^{5} f^{8}$ .

$\frac{f^{2} (9 e^{5} f^{6})}{f^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{f^{2} (9 e^{5} f^{6})}{f^{2} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{f^{2} (9 e^{5} f^{6})}{f^{2} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{9 e^{5} f^{6}}{1}$

Step 3.2.4

Divide $9 e^{5} f^{6}$ by $1$ .

$9 e^{5} f^{6}$

$9 e^{5} f^{6}$

$9 e^{5} f^{6}$

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