The exponent that a number claims how countless times to usage the number in a multiplication.
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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: | ![]() |
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!
![]() | That last example showed one easier way to handle an unfavorable exponents: calculate the positive exponent (an) |
More Examples:
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:
.. Etc.. See more: A Half A Liter Is How Many Ounces Are In A Half Liter? How Many Ounces In A Liter | ![]() | ||
52 | 5 × 5 | 25 | |
51 | 5 | 5 | |
50 | 1 | 1 | |
5-1 | 15 | 0.2 | |
5-2 | 15 × 15 | 0.04 | |
.. Etc.. |