INSTRUCTORS Carleen Eaton Grant Fraser Eric Smith

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### Multiplying Monomials

• A monomial is a product of a number and zero or more variables. If there are no variables, the monomial is called a constant.

• A power is an expression of the form xn, where n is a positive integer. The variable x is called the base and the number n is called the exponent.

• Recall from earlier work the laws of exponents: an· am = am+n, (am)n = amn, and

• (ab)m = ambm.

• An expression is considered to be in simplified form if each base is used exactly once, there are no powers of powers, and all fractions are in simplified form.

• You will often be asked to convert a given expression into simplified form.

### Multiplying Monomials

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What is a Monomial? 0:43
• Constant
• Power
• Exponent and Base
• Properties of Exponents 3:02
• Simplified Form 5:52
• Each Base Appears Exactly Once
• No Powers of Powers
• All Fractions Simplified
• Lecture Example 1 6:43
• Lecture Example 2 8:12