The exponent that a number states how plenty of times to usage the number in a multiplication.
You are watching: What is 2 to the 4th power
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 come the strength 2" or "8 to the second power", or merely "8 squared"
Exponents are additionally 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 to the power 3" or simply "5 cubed"Example: 24 = 2 × 2 × 2 × 2 = 16
In words: 24 could be called "2 come the fourth power" or "2 come the power 4" or merely "2 to the 4th"So in general:
| an tells you to main point a by itself,so there room n of those a"s: |  |
Another way of writing It
Sometimes people use the ^ price (above the 6 on her keyboard), together it is easy to type.
Negative Exponents
Negative? What might be opposing of multiplying? Dividing!
So we divide by the number each time, which is the same as multiply by 1number
Negative? upper and lower reversal the Positive!
 | That last example showed an easier way to handle an unfavorable exponents: calculation the hopeful 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, climate you gain 1 (example 90 = 1) | |
| But what about 00 ? It could be one of two people 1 or 0, and also so world say it is "indeterminate". |
It All makes Sense
If girlfriend look at the table, friend will see that positive, zero ornegative exponents room really part of the same (fairly simple) pattern:
| .. Etc.. See more: How Many Cups In 32 Ounce - Ounces To Cups Converter (Oz To Cups) |  | ||
| 52 | 5 × 5 | 25 | |
| 51 | 5 | 5 | |
| 50 | 1 | 1 | |
| 5-1 | 15 | 0.2 | |
| 5-2 | 15 × 15 | 0.04 | |
| .. Etc.. |