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

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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:
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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!

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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

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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..