The exponent that a number claims how countless times to usage the number in a multiplication.

You are watching: What is three to the third power

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

In words: 82 can be dubbed "8 to the power 2" or "8 come the 2nd power", or merely "8 squared"

Exponents are also called strength 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 strength 3" or merely "5 cubed"

Example: 24 = 2 × 2 × 2 × 2 = 16

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

So in general:

an speak you to main point a by itself,so there space n that those a"s:
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Another means of creating It

Sometimes human being use the ^ prize (above the 6 on your keyboard), together it is basic to type.


Negative Exponents

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

So we division by the number each time, i beg your pardon is the very same as multiplying by 1number


Negative? upper and lower reversal the Positive!

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

calculate the positive exponent (an)

More Examples:


negative 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 the number chin (example 91 = 9)
0 If the exponent is 0, then you get 1 (example 90 = 1)
But what about 00 ? It could be one of two people 1 or 0, and so world say that is "indeterminate".

It All renders Sense

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


Example: strength of 5
.. Etc..

See more: A Half A Liter Is How Many Ounces Are In A Half Liter? How Many Ounces In A Liter
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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..