The exponent of a number says how many times to use the number in a multiplication.
You are watching: -2 to the 6th power
In 82 the "2" says to usage 8 twice in a multiplication,so 82 = 8 × 8 = 64
In words: 82 might be called "8 to the power 2" or "8 come the 2nd power", or just "8 squared"
Exponents are also called powers or Indices.
Some much more examples:
Example: 53 = 5 × 5 × 5 = 125
In words: 53 might be referred to as "5 come the third power", "5 come the strength 3" or just "5 cubed"Example: 24 = 2 × 2 × 2 × 2 = 16
In words: 24 might be referred to as "2 to the 4th power" or "2 come the strength 4" or simply "2 to the 4th"So in general:
| an tells you to main point a through itself,so there room n the those a"s: |  |
Another means of composing It
Sometimes people use the ^ price (above the 6 on your keyboard), as it is easy to type.
Negative Exponents
Negative? What might be opposing of multiplying? Dividing!
So we divide by the number every time, which is the exact same as multiplying by 1number
Negative? upper and lower reversal the Positive!
 | That last example showed one easier means to handle an adverse 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 the number itself (example 91 = 9) | |
| 0 | If the exponent is 0, climate you obtain 1 (example 90 = 1) | |
| But what about 00 ? It might be one of two people 1 or 0, and also so human being say that is "indeterminate". |
It All makes Sense
If you look at the table, girlfriend will watch that positive, zero ornegative exponents space really component of the exact same (fairly simple) pattern:
| .. Etc.. See more: Can A Felon Own A Crossbow ? Everything You Need To Know! |  | ||
| 52 | 5 × 5 | 25 | |
| 51 | 5 | 5 | |
| 50 | 1 | 1 | |
| 5-1 | 15 | 0.2 | |
| 5-2 | 15 × 15 | 0.04 | |
| .. Etc.. |