The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number. (The exponent "2" says to use the 8 two times in a multiplication.)
Examples: 3 raised to the power of 4 is written 34 = 81.
SYNONYMS FOR exponent1 supporter, champion, proponent, promoter. 2 embodiment, personification.
To use this method to type an exponent on a computer, you need to:
- Move your mouse pointer to wherever on your screen you want to type the exponent.
- Press Shift + 6 to type in the caret symbol (^).
- Type in the exponent immediately following the symbol(s).
Therefore it's consistent to say 30 = 1. There are other reasons why a0 has to be 1 - for example, you may have heard the power rule: a(b+c) = ab * ac.
hundred million. 108. 100,000,000. "ten to the eight" billion.
103 is read as “10 to the third power” or “10 cubed.” It means 10 • 10 • 10, or 1,000. 82 is read as “8 to the second power” or “8 squared.” It means 8 • 8, or 64. 54 is read as “5 to the fourth power.” It means 5 • 5 • 5 • 5, or 625.
Example: 104 = 10 × 10 × 10 × 10 = 10,000In words: 104 could be called "10 to the fourth power", "10 to the power 4" or "10 to the 4"
Powers of 2 Table
| . Powers of 2 Table |
|---|
| Bit Line # | Power of 2 Expo- nent | Binary Bit Weight in Decimal |
|---|
| 8 | 27 | 128 |
| 9 | 28 | 256 |
| 10 | 29 | 512 |
a1 = a. Any number raised to the power of one equals the number itself. For any number a, except 0, a0 = 1. Any number raised to the power of zero, except zero, equals one.
Laws of Exponents
- Multiplying Powers with same Base.
- Dividing Powers with the same Base.
- Power of a Power.
- Multiplying Powers with the same Exponents.
- Negative Exponents.
- Power with Exponent Zero.
- Fractional Exponent.
If you are asked to take 6 and multiply it by 2, you are really doubling 6. In other words, 6 times 2 is like saying you have two 6's. When you take 6 and square it (raise it to the power of 2), you are taking 6 and multiplying it by itself.
An expression that represents repeated multiplication of the same factor is called a power. The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
5 to power 3 is 5 times itself thrice, or 5x5x5. 5x5=25, and 25x2=125. The value of 5 to power of 3, is 125 or 5x5x5!
There are
seven exponent rules, or laws of
exponents, that your students need to learn.
Exponent rules
- Product of powers rule.
- Quotient of powers rule.
- Power of a power rule.
- Power of a product rule.
- Power of a quotient rule.
- Zero power rule.
- Negative exponent rule.
The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.
An expression that consists of a repeated power of multiplication of the same factor is called as Power/Exponent/Indices. Consider an example like 5^{2}, the number 5 is called the base, whereas 2 is the power/indices/exponent of the expression.
