The exponent that a number claims how countless times to usage the number in a multiplication.

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

In words: 82 might be referred to as "8 to the strength 2" or "8 come the 2nd power", or simply "8 squared"

Exponents are also called strength or Indices.

Some more examples:

### Example: 53 = 5 × 5 × 5 = 125

In words: 53 could be called "5 to the third power", "5 to the strength 3" or merely "5 cubed"

### Example: 24 = 2 × 2 × 2 × 2 = 16

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

So in general:

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

## Another way of writing It

Sometimes people use the ^ symbol (above the 6 on your keyboard), together it is straightforward to type.

## Negative Exponents

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

So we division by the number every time, which is the same as multiplying by 1number

## Negative? upper and lower reversal the Positive!

 That last example showed one easier means to handle negative exponents: calculation the optimistic exponent (an)

More Examples:

an unfavorable 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 acquire 1 (example 90 = 1) But what about 00 ? It might be either 1 or 0, and so world say it is "indeterminate".

## It All provides Sense

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

Example: powers 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..