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

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In 82 the "2" says to use 8 double in a multiplication,so 82 = 8 × 8 = 64

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

Exponents are likewise called strength or Indices.

Some much more examples:


Example: 53 = 5 × 5 × 5 = 125

In words: 53 might be referred to as "5 to the 3rd power", "5 come the strength 3" or just "5 cubed"

Example: 24 = 2 × 2 × 2 × 2 = 16

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

So in general:

an tells you to multiply a through itself,so there room n the those a"s:
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Another means of writing It

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


Negative Exponents

Negative? What can be opposing of multiplying? Dividing!

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


Negative? upper and lower reversal the Positive!

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That last instance showed one easier way to handle an unfavorable exponents:

calculate the hopeful exponent (an)

More Examples:


an adverse 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, then you just have actually the number chin (example 91 = 9)
0 If the exponent is 0, then you get 1 (example 90 = 1)
But what about 00 ? It can be either 1 or 0, and so human being say the is "indeterminate".

It All provides Sense

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


Example: strength of 5
.. Etc..

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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..