Chapter Five:  Exponents and Polynomials

Take notes on the following topics.

Chapter Five

Section 5.1

Section 5.2

Section 5.3

Section 5.4

Section 5.5

Section 5.6

Section 5.7

Section 5.8

Section 5.9

Section 5.10

Section 5.11

Section 5.12

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Section 5.1    Multiplying Monomials

Vocabulary

• constant

• variable

• monomial

• base

• factor

To multiply powers with the same base, add the exponents and keep the same base.

 

Example 1		23 • 26 = 23 + 6  = 29   or    23 • 26 = (2 • 2 • 2)(2 • 2 • 2 • 2 • 2 • 2) = 29
Example 2	a2 • a4  = a2 + 4  = a6   or    a2 • a4 = (a • a) (a • a • a • a) = a6
Example 3	z • z5 • z3  = z1 + 5 + 3  = z9
Example 4	(x2y3)( x4y5)  = x2 + 4y3 + 5  = x6y8

Remember

• Exponents can not be add unless the bases are the same.

• Look at example 2 on page 202. Notice the coefficients are multiplied, but the exponents are added.

Remember

Property

•  Product of Powers (page 201)

Take class notes.