1. Exponential Notation.notebook
September 07, 2016
9/7/16
Topic: Exponents
Aim: How do we write expressions using exponential
form?
HW: p.414 #3-17, 19 **Copy Problems
Do Now: Write both expressions using simpler notation.
1) 5+5+5
2) 5x5x5
Aug 31­2:57 PM
Expand both expressions and compare.
A) 23 B) 2x3
Aug 31­3:03 PM
1
1. Exponential Notation.notebook
September 07, 2016
Terms to know:
The coefficient is the number that is multiplying the base (Directly in front).
2x3
The exponent tells how many times the base is used as a factor.
The base is the number that is multiplied.
Sep 18­10:46 AM
How can we write and evaluate exponential expressions?
Write each expressions using exponents:
Expanded Form
1) 3●3●3●3
Exponential Form
2) a●a●a●a●b●b●a●a
3) -5●-5●-5
4) - 4
4
4
4
4) -2●a●a●y●y●y
5) 2x●2x●2x●2x
6)
7)
Sep 8­1:28 PM
2
1. Exponential Notation.notebook
September 07, 2016
How can we write and evaluate exponential expressions?
Expand each expressions and evaluate:
Power
Expanded FormEvaluate
8) 52
9) 25
10) x4
11) 3x5
12) (3x)3
13) -x2
14) (-x)2
Sep 8­1:28 PM
Evaluate without a calculator
#1 (3)2
#2 (-3)2
#3 -32
Sep 8­1:27 PM
3
1. Exponential Notation.notebook
September 07, 2016
The rule for exponential to expanded form:
Sep 14­2:02 PM
Sep 14­2:16 PM
4
1. Exponential Notation.notebook
September 07, 2016
Sep 14­2:17 PM
Sep 14­2:18 PM
5
1. Exponential Notation.notebook
September 07, 2016
Negative Base: (-b)n
positive:
negative:
Examples: Answer each questions.
1) Tim wrote 16 as (-2)4. Is he correct? Explain.
2) Could -2 be used as a base to rewrite 32? 64? Why or why
not?
Sep 14­2:18 PM
Summary
How can we write and evaluate expressions with exponents?
Sep 8­1:29 PM
6