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

You are watching: What is 9 to the power of 2 In 82 the "2" states to usage 8 twice in a multiplication,so 82 = 8 × 8 = 64

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

Exponents are also called powers or Indices.

Some much more examples:

### Example: 53 = 5 × 5 × 5 = 125

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

### Example: 24 = 2 × 2 × 2 × 2 = 16

In words: 24 might be dubbed "2 to the 4th power" or "2 come the power 4" or merely "2 come the 4th"

So in general:

 an speak you to main point a through itself,so there room n the those a"s: ## Another method of creating It

Sometimes human being use the ^ price (above the 6 on her keyboard), as it is easy to type.

## Negative Exponents

Negative? What could be opposing of multiplying? Dividing!

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

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

More Examples:

an adverse Exponent mutual 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, climate you just have the number itself (example 91 = 9) 0 If the exponent is 0, climate you gain 1 (example 90 = 1) But what around 00 ? It could be one of two people 1 or 0, and also so human being say the is "indeterminate".

## It All renders Sense

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

Example: powers of 5
.. Etc..

See more: What Is The Prime Factorization Of 440 ? Factor Tree For 440 52 5 × 5 25
51 5 5
50 1 1
5-1 15 0.2
5-2 15 × 15 0.04
.. Etc..