1. 1-3
Exponents
Course 1
Warm Up
Problem of the Day
Lesson Presentation

2. 1-3 Exponents Warm Up Multiply. 1. 3  3  3 27 2. 4  4  4 64
Course 1
1-3
Exponents
Warm Up
Multiply.
1. 3  3  3 27
2. 4  4  4 64
3. 2  2  2  2 16
4. 5  5  5  5
625

3. 1-3 Exponents Problem of the Day
Course 1
1-3
Exponents
Problem of the Day
Replace the letters a, b, and c with the numbers 3, 4, and 5 to make a true statement.
2a + 2a = bc
= 43

4. Course 1
1-3
Exponents
Learn to represent numbers by using exponents.

5. Insert Lesson Title Here
Course 1
1-3
Exponents
Insert Lesson Title Here
Vocabulary
exponent
base
exponential form

6. Course 1
1-3
Exponents
An exponent tells how many times a number called the base is used as a factor.
A number is in exponential form when it is written with a base and an exponent.
Exponent 73
Base
= 7  7  7= 343

7. 1-3 Exponents Exponential Form 101 Read “10 to the 1st power” Multiply
Course 1
1-3
Exponents
Exponential Form
101
Read
“10 to the 1st power”
Multiply 10
Value

8. 1-3 Exponents Exponential Form 102 Read “10 squared” or
Course 1
1-3
Exponents
Exponential Form
102
Read
“10 squared” or
“10 to the 2nd power”
Multiply
10  10
Value
100

9. 1-3 Exponents Exponential Form 103 Read “10 cubed” or
Course 1
1-3
Exponents
Exponential Form
103
Read
“10 cubed” or
“10 to the 3rd power”
Multiply
10  10  10
Value
1,000

10. 1-3 Exponents Exponential Form 104 Read “10 to the 4th power” Multiply
Course 1
1-3
Exponents
Exponential Form
104
Read
“10 to the 4th power”
Multiply
10  10  10  10
Value
10,000

11. Insert Lesson Title Here
Course 1
1-3
Exponents
Insert Lesson Title Here
Additional Example 1: Writing Numbers in Exponential Form
Write each expression in exponential form.
A. 5  5  5  5
B. 3  3  3  3  3 54
5 is a factor 4 times. 35
3 is a factor 5 times.

12. Write each expression in exponential form.
Course 1
1-3
Exponents
Insert Lesson Title Here
Try This: Example 1
Write each expression in exponential form.
A. 7  7  7
B. 6  6  6  6  6  6 73
7 is a factor 3 times. 66
6 is a factor 6 times.

13. Insert Lesson Title Here
Course 1
1-3
Exponents
Insert Lesson Title Here
Additional Example 2: Finding the Value of Numbers in Exponential Form
Find each value.
A. 26
B. 45 26
= 2  2  2  2  2  2
= 64 45
= 4  4  4  4  4
= 1,024

14. Insert Lesson Title Here
Course 1
1-3
Exponents
Insert Lesson Title Here
Try This: Example 2
Find each value.
A. 34
B. 25 34
= 3  3  3  3
= 81 25
= 2  2  2  2  2
= 32

15. Understand the Problem
Course 1
1-3
Exponents
Additional Example 3: Problem Solving Application
A phone tree is used to contact families at Paul’s school. The secretary calls 4 families. Then each family calls 4 other families, and so on. How many families will be notified during the fourth round of calls? 1
Understand the Problem
The answer will be the number of families called in the 4th round.
List the important information:
The secretary calls 4 families.
Each family calls 4 families.

16. Course 1
1-3
Exponents 2
Make a Plan
You can draw a diagram to see how many calls are in each round.
Secretary
1st round – 4 calls
2nd round–16 calls

17. Course 1
1-3
Exponents
Solve 3
Notice that in each round, the number of calls is a power of 4.
1st round: 4 calls = 4 = 41
2nd round: 16 calls = 4 x 4 = 42
So during the 4th round, there will be 44 calls. 44 = 4  4  4  4 = 256
During the 4th round of calls, 256 families will have been notified.
Look Back 4
Drawing a diagram helps you see how to use exponents to solve the problem.

18. Understand the Problem
Course 1
1-3
Exponents
Try This: Example 3
A phone tree is used to contact families at Paul’s school. The secretary calls 3 families. Then each family calls 3 other families, and so on. How many families will be notified during the fourth round of calls? 1
Understand the Problem
The answer will be the number of families called in the 4th round.
List the important information:
The secretary calls 3 families.
Each family calls 3 families.

19. Course 1
1-3
Exponents 2
Make a Plan
You can draw a diagram to see how many calls are in each round.
Secretary
1st round – 3 calls
2nd round–9 calls

20. Course 1
1-3
Exponents
Solve 3
Notice that in each round, the number of calls is a power of 3.
1st round: 3 calls = 3 = 31
2nd round: 9 calls = 3 x 3 = 32
So during the 4th round, there will be 34 calls. 34 = 3  3  3  3 = 81
During the 4th round of calls, 81 families will have been notified.
Look Back 4
Drawing a diagram helps you see how to use exponents to solve the problem.

21. Insert Lesson Title Here
Course 1
1-3
Exponents
Insert Lesson Title Here
Lesson Quiz
Write each expression in exponential form.
1. 12  12  12
2. 9  9  9  9  9  9  9
Find each value.
5. In a phone tree, each of three people will call three people, and then each of those will call three more. If there are five levels of the tree, how many people will be called?
123 97
400
1,296
243