Download Lesson 1 Work with Exponents

U3 D1 Work with Exponents.notebook
March 20, 2017
Key Terms
Unit 3 ­ Algebra
Day 1 ­ Work with Exponents
Power: An expression in the form an is called a POWER. A power has a base and an exponent and it represents repeated multiplication of a number. Learning Goals
Today, we will learn...
• The definitions of a power, base, and exponent
• How write powers in exponential and expanded form
• How to evaluate powers
We read this as "two to the fourth" NOT two to the power of 4. Sep 21­10:01 AM
Feb 4­3:41 PM
Rule #1: an = Example 1. For each power, state the base, the exponent and then evaluate. Base
Exponent
Evaluate
a) 43
b) (­2)4
c) ­24
Mar 30­9:29 AM
Example 2
Mar 20­8:03 AM
Example 3:
Evaluate each with a calculator.
a) 53 =
b) ­26 = d) 52 + 32 =
e) (5 + 3)2 =
Write each product in expanded form as a power: c) (­2)6 =
a) 8 x 8 x 8 x 8 x 8
b) (­10) x (­10) x 9 x 9 x 9
f) (­6)2 ­ (­4)3 =
c) Feb 4­3:51 PM
Mar 20­8:03 AM
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U3 D1 Work with Exponents.notebook
March 20, 2017
Example 5
Example 4
a) (­1)2 = b) (­1)3 =
c)(­1)4 =
d) (­1)5 =
Write each as a power with the given base.
a) 125 base 5
b) 81 base ­3
c) 1000 base 10
NOTE: When a negative integer is enclosed in brackets, if a) the exponent is odd your answer will be negative
b) the exponent is even your answer will be positive
Feb 4­3:51 PM
Feb 4­3:51 PM
Key Points
• Powers are a useful way to express repeated multiplication.
• Powers sometimes appear in formulas. When evaluating expressions involving powers, follow the correct order of operations.
• A power consists of a base and an exponent where the base is the identical factor and the exponent tells how many factors there are.
• When there is a negative sign in front of a power, the sign stays put. It does not get multiplied by the exponent. Mar 23­8:20 AM
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Attachments
7.4 part 1.gsp
7.4 part 2.gsp