# Exponents

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## Definition

A mathematical operation of expressing any number as number of multiplicative factors on the basis of another number is called exponentiation.

### Example

$390625$ is a number and express it as number of multiplicative factors on the basis of number $5$.

$390625 = 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5$

Express the same number as number of multiplicative factors on the basis of number $25$.

$390625 = 25 \times 25 \times 25 \times 25$

Similarly, express it as number of multiplicative factors on the basis of number $625$.

$390625 = 625 \times 625$

The number $390625$ is expressed as $8$, $4$ and $2$ multiplicative factors of $5$, $25$ and $625$ respectively in this example. This type of mathematical operation is called exponentiation.

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