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

You are watching: What is 2 to the fourth power In 82 the "2" says to use 8 double in a multiplication,so 82 = 8 × 8 = 64

In words: 82 could be called "8 come the power 2" or "8 to the second power", or just "8 squared"

Exponents are likewise called strength or Indices.

Some more examples:

### Example: 53 = 5 × 5 × 5 = 125

In words: 53 might be referred to as "5 come the 3rd power", "5 come the power 3" or just "5 cubed"

### Example: 24 = 2 × 2 × 2 × 2 = 16

In words: 24 can be referred to as "2 come the 4th power" or "2 come the strength 4" or simply "2 to the 4th"

So in general:

 an speak you to main point a by itself,so there room n that those a"s: ## Another means of composing It

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

## Negative Exponents

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

So we division by the number each time, i beg your pardon is the very same as multiplying by 1number

## Negative? flip the Positive! That last instance showed an easier way to handle negative exponents: calculate the hopeful exponent (an)

More Examples:

an adverse Exponent mutual ofPositive Exponent price
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 chin (example 91 = 9) 0 If the exponent is 0, then you obtain 1 (example 90 = 1) But what about 00 ? It can be one of two people 1 or 0, and also so people say it is "indeterminate".

## It All provides Sense

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

Example: powers of 5
.. Etc..

See more: St Louis To Columbus Distance From St Louis To Columbus Ohio 52 5 × 5 25
51 5 5
50 1 1
5-1 15 0.2
5-2 15 × 15 0.04
.. Etc..