The exponent of a number states how plenty of times to use the number in a multiplication.

You are watching: 2 to the power of -3 In 82 the \"2\" states to usage 8 double in a multiplication,so 82 = 8 × 8 = 64

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

Exponents are additionally called powers or Indices.

Some more examples:

### Example: 53 = 5 × 5 × 5 = 125

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

### Example: 24 = 2 × 2 × 2 × 2 = 16

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

So in general:

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

Sometimes world use the ^ price (above the 6 on her keyboard), together it is simple to type.

## Negative Exponents

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

So we divide by the number each time, which is the very same as multiplying by 1number

## Negative? flip the Positive! That last instance showed an easier method to handle an adverse exponents: calculation the optimistic exponent (an)

More Examples:

an unfavorable Exponent reciprocal 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 chin (example 91 = 9) 0 If the exponent is 0, then you gain 1 (example 90 = 1) But what around 00 ? It can be one of two people 1 or 0, and also so people say it is \"indeterminate\".

## It All renders Sense

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

Example: powers of 5
.. Etc..

See more: Girl Peed In Her Pants, My Friend, Why I Told My Daughter To Pee Her Pants 52 5 × 5 25
51 5 5
50 1 1
5-1 15 0.2
5-2 15 × 15 0.04
.. Etc..