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

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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:
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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!

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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

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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..