Algebra Examples

$\frac{a^{15} b^{2} c^{18}}{a^{12} b^{2} c^{3}}$

Step 1

Cancel the common factor of $a^{15}$ and $a^{12}$ .

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Step 1.1

Factor $a^{12}$ out of $a^{15} b^{2} c^{18}$ .

$\frac{a^{12} (a^{3} b^{2} c^{18})}{a^{12} b^{2} c^{3}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $a^{12}$ out of $a^{12} b^{2} c^{3}$ .

$\frac{a^{12} (a^{3} b^{2} c^{18})}{a^{12} (b^{2} c^{3})}$

Step 1.2.2

Cancel the common factor.

$\frac{a^{12} (a^{3} b^{2} c^{18})}{a^{12} (b^{2} c^{3})}$

Step 1.2.3

Rewrite the expression.

$\frac{a^{3} b^{2} c^{18}}{b^{2} c^{3}}$

Step 2

Cancel the common factor of $b^{2}$ .

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Step 2.1

Cancel the common factor.

$\frac{a^{3} b^{2} c^{18}}{b^{2} c^{3}}$

Step 2.2

Rewrite the expression.

$\frac{a^{3} c^{18}}{c^{3}}$

Step 3

Cancel the common factor of $c^{18}$ and $c^{3}$ .

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Step 3.1

Factor $c^{3}$ out of $a^{3} c^{18}$ .

$\frac{c^{3} (a^{3} c^{15})}{c^{3}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{c^{3} (a^{3} c^{15})}{c^{3} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{c^{3} (a^{3} c^{15})}{c^{3} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{a^{3} c^{15}}{1}$

Step 3.2.4

Divide $a^{3} c^{15}$ by $1$ .

$a^{3} c^{15}$