Basic Math Examples

$14 a^{3} b^{4} \div 2 a b^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{14 a^{3} b^{4}}{2 a b^{2}}$

Step 2

Cancel the common factor of $14$ and $2$ .

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Step 2.1

Factor $2$ out of $14 a^{3} b^{4}$ .

$\frac{2 (7 a^{3} b^{4})}{2 a b^{2}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $2 a b^{2}$ .

$\frac{2 (7 a^{3} b^{4})}{2 (a b^{2})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (7 a^{3} b^{4})}{2 (a b^{2})}$

Step 2.2.3

Rewrite the expression.

$\frac{7 a^{3} b^{4}}{a b^{2}}$

$\frac{7 a^{3} b^{4}}{a b^{2}}$

$\frac{7 a^{3} b^{4}}{a b^{2}}$

Step 3

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

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Step 3.1

Factor $a$ out of $7 a^{3} b^{4}$ .

$\frac{a (7 a^{2} b^{4})}{a b^{2}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $a$ out of $a b^{2}$ .

$\frac{a (7 a^{2} b^{4})}{a (b^{2})}$

Step 3.2.2

Cancel the common factor.

$\frac{a (7 a^{2} b^{4})}{a b^{2}}$

Step 3.2.3

Rewrite the expression.

$\frac{7 a^{2} b^{4}}{b^{2}}$

$\frac{7 a^{2} b^{4}}{b^{2}}$

$\frac{7 a^{2} b^{4}}{b^{2}}$

Step 4

Cancel the common factor of $b^{4}$ and $b^{2}$ .

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Step 4.1

Factor $b^{2}$ out of $7 a^{2} b^{4}$ .

$\frac{b^{2} (7 a^{2} b^{2})}{b^{2}}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Multiply by $1$ .

$\frac{b^{2} (7 a^{2} b^{2})}{b^{2} \cdot 1}$

Step 4.2.2

Cancel the common factor.

$\frac{b^{2} (7 a^{2} b^{2})}{b^{2} \cdot 1}$

Step 4.2.3

Rewrite the expression.

$\frac{7 a^{2} b^{2}}{1}$

Step 4.2.4

Divide $7 a^{2} b^{2}$ by $1$ .

$7 a^{2} b^{2}$

$7 a^{2} b^{2}$

$7 a^{2} b^{2}$

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