Basic Math Examples

$a^{9} b^{7} \div a b^{5}$

Step 1

Rewrite the division as a fraction.

$\frac{a^{9} b^{7}}{a b^{5}}$

Step 2

Cancel the common factor of $a^{9}$ and $a$ .

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Step 2.1

Factor $a$ out of $a^{9} b^{7}$ .

$\frac{a (a^{8} b^{7})}{a b^{5}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $a$ out of $a b^{5}$ .

$\frac{a (a^{8} b^{7})}{a (b^{5})}$

Step 2.2.2

Cancel the common factor.

$\frac{a (a^{8} b^{7})}{a b^{5}}$

Step 2.2.3

Rewrite the expression.

$\frac{a^{8} b^{7}}{b^{5}}$

$\frac{a^{8} b^{7}}{b^{5}}$

$\frac{a^{8} b^{7}}{b^{5}}$

Step 3

Cancel the common factor of $b^{7}$ and $b^{5}$ .

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Step 3.1

Factor $b^{5}$ out of $a^{8} b^{7}$ .

$\frac{b^{5} (a^{8} b^{2})}{b^{5}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Multiply by $1$ .

$\frac{b^{5} (a^{8} b^{2})}{b^{5} \cdot 1}$

Step 3.2.2

Cancel the common factor.

$\frac{b^{5} (a^{8} b^{2})}{b^{5} \cdot 1}$

Step 3.2.3

Rewrite the expression.

$\frac{a^{8} b^{2}}{1}$

Step 3.2.4

Divide $a^{8} b^{2}$ by $1$ .

$a^{8} b^{2}$

$a^{8} b^{2}$

$a^{8} b^{2}$

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