Basic Math Examples

5^{9} \cdot 5^{- 2}

$5^{9} \cdot 5^{- 2}$

Step 1

Multiply

5^{9}

$5^{9}$ by

5^{- 2}

$5^{- 2}$ by adding the exponents.

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Step 1.1

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

5^{9 - 2}

$5^{9 - 2}$

Step 1.2

Subtract

2

$2$ from

9

$9$ .

5^{7}

$5^{7}$

5^{7}

$5^{7}$

Step 2

Raise

5

$5$ to the power of

7

$7$ .

78125

$78125$

5^{9} \cdot 5^{- 2}

$5^{9} \cdot 5^{- 2}$

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

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