The exponent of a number claims how numerous times to use the number in a multiplication.

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In 82 the "2" claims to usage 8 double in a multiplication,so 82 = 8 × 8 = 64

In words: 82 might be dubbed "8 come the strength 2" or "8 to the second power", or simply "8 squared"

Exponents are likewise called strength or Indices.

Some more examples:

### Example: 53 = 5 × 5 × 5 = 125

In words: 53 can be called "5 to the 3rd power", "5 to the strength 3" or just "5 cubed"

### Example: 24 = 2 × 2 × 2 × 2 = 16

In words: 24 could be called "2 come the fourth power" or "2 come the power 4" or merely "2 come the 4th"

So in general:

 an tells you to main point a by itself,so there space n that those a"s:

## Another means of writing It

Sometimes world use the ^ prize (above the 6 on your keyboard), as it is straightforward to type.

## Negative Exponents

Negative? What could be the opposite of multiplying? Dividing!

So we division by the number each time, i m sorry is the exact same as multiplying by 1number

## Negative? upper and lower reversal the Positive!

 That last example showed an easier method to handle negative exponents: calculate the hopeful exponent (an)

More Examples:

negative Exponent reciprocal ofPositive Exponent prize
4-2 = 1 / 42 = 1/16 = 0.0625
10-3 = 1 / 103 = 1/1,000 = 0.001
(-2)-3 = 1 / (-2)3 = 1/(-8) = -0.125

## What if the Exponent is 1, or 0?

 1 If the exponent is 1, then you just have actually the number itself (example 91 = 9) 0 If the exponent is 0, then you get 1 (example 90 = 1) But what about 00 ? It can be one of two people 1 or 0, and also so world say that is "indeterminate".

## It All renders Sense

If girlfriend look at that table, friend will check out that positive, zero ornegative exponents are really part of the exact same (fairly simple) pattern:

Example: strength of 5
.. Etc..

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52 5 × 5 25
51 5 5
50 1 1
5-1 15 0.2
5-2 15 × 15 0.04
.. Etc..