Basic Math Examples

$\frac{80 b^{14} c^{18 d^{15}}}{5 b^{7} c^{6} d^{5}}$

Step 1

Cancel the common factor of $80$ and $5$ .

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Step 1.1

Factor $5$ out of $80 b^{14} c^{18 d^{15}}$ .

$\frac{5 (16 b^{14} c^{18 d^{15}})}{5 b^{7} c^{6} d^{5}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $5 b^{7} c^{6} d^{5}$ .

$\frac{5 (16 b^{14} c^{18 d^{15}})}{5 (b^{7} c^{6} d^{5})}$

Step 1.2.2

Cancel the common factor.

$\frac{5 (16 b^{14} c^{18 d^{15}})}{5 (b^{7} c^{6} d^{5})}$

Step 1.2.3

Rewrite the expression.

$\frac{16 b^{14} c^{18 d^{15}}}{b^{7} c^{6} d^{5}}$

Step 2

Cancel the common factor of $b^{14}$ and $b^{7}$ .

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Step 2.1

Factor $b^{7}$ out of $16 b^{14} c^{18 d^{15}}$ .

$\frac{b^{7} (16 b^{7} c^{18 d^{15}})}{b^{7} c^{6} d^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $b^{7}$ out of $b^{7} c^{6} d^{5}$ .

$\frac{b^{7} (16 b^{7} c^{18 d^{15}})}{b^{7} (c^{6} d^{5})}$

Step 2.2.2

Cancel the common factor.

$\frac{b^{7} (16 b^{7} c^{18 d^{15}})}{b^{7} (c^{6} d^{5})}$

Step 2.2.3

Rewrite the expression.

$\frac{16 b^{7} c^{18 d^{15}}}{c^{6} d^{5}}$

Step 3

Cancel the common factor of $c^{18 d^{15}}$ and $c^{6}$ .

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Step 3.1

Factor $c^{6}$ out of $16 b^{7} c^{18 d^{15}}$ .

$\frac{c^{6} (16 b^{7} c^{18 d^{15} - 6})}{c^{6} d^{5}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $c^{6}$ out of $c^{6} d^{5}$ .

$\frac{c^{6} (16 b^{7} c^{18 d^{15} - 6})}{c^{6} (d^{5})}$

Step 3.2.2

Cancel the common factor.

$\frac{c^{6} (16 b^{7} c^{18 d^{15} - 6})}{c^{6} d^{5}}$

Step 3.2.3

Rewrite the expression.

$\frac{16 b^{7} c^{18 d^{15} - 6}}{d^{5}}$