Basic Math Examples

$\frac{a^{14} b^{42}}{a^{30} b^{18}}$

Step 1

Cancel the common factor of $a^{14}$ and $a^{30}$ .

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Step 1.1

Factor $a^{14}$ out of $a^{14} b^{42}$ .

$\frac{a^{14} (b^{42})}{a^{30} b^{18}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $a^{14}$ out of $a^{30} b^{18}$ .

$\frac{a^{14} (b^{42})}{a^{14} (a^{16} b^{18})}$

Step 1.2.2

Cancel the common factor.

$\frac{a^{14} b^{42}}{a^{14} (a^{16} b^{18})}$

Step 1.2.3

Rewrite the expression.

$\frac{b^{42}}{a^{16} b^{18}}$

Step 2

Cancel the common factor of $b^{42}$ and $b^{18}$ .

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Step 2.1

Factor $b^{18}$ out of $b^{42}$ .

$\frac{b^{18} b^{24}}{a^{16} b^{18}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $b^{18}$ out of $a^{16} b^{18}$ .

$\frac{b^{18} b^{24}}{b^{18} a^{16}}$

Step 2.2.2

Cancel the common factor.

$\frac{b^{18} b^{24}}{b^{18} a^{16}}$

Step 2.2.3

Rewrite the expression.

$\frac{b^{24}}{a^{16}}$