# What do you do with exponents?

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**.A.

### 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 does an exponent of 0 mean?

The**zero exponent**rule is one of the rules that will help you simplify**exponents**. Now that you know the terms, let's go back to the**zero exponent**rule. The**zero exponent**rule basically says that any base with an**exponent**of**zero**is equal to one. For example: x^0 = 1.#### What is a number to the power of 1?

**Any number**raised to the**power of one**equals the**number**itself.**Any number**raised to the**power**of zero, except zero, equals**one**. This multiplication rule tells us that we can simply add the exponents when multiplying two**powers**with the same base.#### What is the definition of exponents?

**Math Term Definition**.**Exponent**. An**exponent**is a small number written with another big number that tells how many times to multiply the big number by itself.

B.

### 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 is the difference between a base and an exponent?

The term '**power**', is used to mean, the number arrived at, by raising a base number to the**exponent**. The base number and the**exponent**are the basic elements of the**power**, wherein the base number is the number that is multiplied by itself and**exponent**is the number of times base number is multiplied.#### What is to the 5th power?

In arithmetic and algebra, the**fifth power**of a number n is the result of multiplying five instances of n together.**Fifth powers**are also formed by multiplying a number by its fourth**power**, or the square of a number by its cube.#### What is the rule for multiplying like bases?

There are rules that help when multiplying and dividing exponential expressions with the same base. To multiply two exponential terms with the same base, add their exponents. To raise a power to a power, multiply the exponents. To**divide**two exponential terms with the same base,**subtract**the exponents.

C.

### 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#### 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**#### When exponents are the same?

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**.#### What is the exponent of 2?

The**exponent**of a number says how many times to use the number in a multiplication. In 8the "^{2}**2**" says to use 8 twice in a multiplication, so 8= 8 × 8 = 64. In words: 8^{2}could be called "8 to the power^{2}**2**" or "8 to the second power", or simply "8 squared"**Exponents**are also called Powers or Indices.

Updated: 28th October 2019