The exponent that a number says how plenty of times to usage the number in a multiplication.

You are watching: 2 to the power of -1 In 82 the "2" claims to use 8 twice in a multiplication,so 82 = 8 × 8 = 64

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

Exponents are likewise called powers or Indices.

Some more examples:

### Example: 53 = 5 × 5 × 5 = 125

In words: 53 could be called "5 to the 3rd power", "5 come the power 3" or simply "5 cubed"

### Example: 24 = 2 × 2 × 2 × 2 = 16

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

So in general:

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

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

## Negative Exponents

Negative? What could be opposing of multiplying? Dividing!

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

## Negative? flip the Positive! That last example showed one easier means to handle an adverse exponents: calculation the hopeful exponent (an)

More Examples:

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

## It All makes Sense

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

Example: strength of 5
.. Etc..

See more: The Battle Of English And Mathematics Answer, The Battle Of English Vs 52 5 × 5 25
51 5 5
50 1 1
5-1 15 0.2
5-2 15 × 15 0.04
.. Etc..