The

**exponent**"product rule" tells us that, when multiplying two powers that have the same base,**you**can add the**exponents**. In this example,**you**can see how it works. Adding the**exponents**is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the**exponents**.In respect to this, what is an exponent of one?

Exponents rules and properties

Rule name | Rule | Example |
---|---|---|

Negative exponents | b^{-}^{n} = 1 / b^{n} | 2^{-}^{3} = 1/2^{3} = 0.125 |

Zero rules | b^{0} = 1 | 5^{0} = 1 |

0^{n} = 0 , for n>0 | 0^{5} = 0 | |

One rules | b^{1} = b | 5^{1} = 5 |

What are exponents and powers?

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.What are the rules of exponents?

A Review of the Rules for Exponents. Below is List of Rules for Exponents and an

**example**or two of using each rule: Zero-Exponent Rule: a^{0}= 1, this says that anything raised to the zero power is 1.**Power Rule**(Powers to Powers): (a^{m})^{n}= a^{mn}, this says that to raise a power to a power you need to**multiply**the exponents