Basic Math Examples

$\frac{a^{9} a^{- 2}}{a}$

Step 1

Multiply $a^{9}$ by $a^{- 2}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{a^{9 - 2}}{a}$

Step 1.2

Subtract $2$ from $9$ .

$\frac{a^{7}}{a}$

Step 2

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

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Step 2.1

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

$\frac{a \cdot a^{6}}{a}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Raise $a$ to the power of $1$ .

$\frac{a \cdot a^{6}}{a^{1}}$

Step 2.2.2

Factor $a$ out of $a^{1}$ .

$\frac{a \cdot a^{6}}{a \cdot 1}$

Step 2.2.3

Cancel the common factor.

$\frac{a \cdot a^{6}}{a \cdot 1}$

Step 2.2.4

Rewrite the expression.

$\frac{a^{6}}{1}$

Step 2.2.5

Divide $a^{6}$ by $1$ .

$a^{6}$