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 usage 8 twice in a multiplication,so 82 = 8 × 8 = 64
In words: 82 might be referred to as "8 to the strength 2" or "8 come the 2nd power", or simply "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 to the strength 3" or merely "5 cubed"Example: 24 = 2 × 2 × 2 × 2 = 16
In words: 24 could be called "2 come the fourth power" or "2 come the strength 4" or just "2 come the 4th"So in general:
| an speak you to main point a by itself,so there space n of those a"s: |  |
Another way of writing It
Sometimes people use the ^ symbol (above the 6 on your keyboard), together it is straightforward to type.
Negative Exponents
Negative? What could be the opposite of multiplying? Dividing!
So we division by the number every time, which is the same as multiplying by 1number
Negative? upper and lower reversal the Positive!
 | That last example showed one easier means to handle negative exponents: calculation the optimistic 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, then you just have actually the number itself (example 91 = 9) | |
| 0 | If the exponent is 0, then you acquire 1 (example 90 = 1) | |
| But what about 00 ? It might be either 1 or 0, and so world say it is "indeterminate". |
It All provides Sense
If friend look at the table, girlfriend will see that positive, zero ornegative exponents room really part of the same (fairly simple) pattern:
| .. Etc.. See more: Which Substance Is An Example Of A Network Solid ? Which Substance Is An Example Of A Network Solid |  | ||
| 52 | 5 × 5 | 25 | |
| 51 | 5 | 5 | |
| 50 | 1 | 1 | |
| 5-1 | 15 | 0.2 | |
| 5-2 | 15 × 15 | 0.04 | |
| .. Etc.. |