1. 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

2. I can…learn to represent numbers by using exponents.

3. Vocabulary
exponent
base
exponential form

4. Teacher Input
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

5. Teacher Input Exponential Form 101 Read “10 to the 1st power” Multiply
Value

6. Teacher Input Exponential Form 102 Read “10 squared,” or
“10 to the 2nd power”
Multiply
10  10
Value
100

7. Teacher Input Exponential Form 103 Read “10 cubed,” or
“10 to the 3rd power”
Multiply
10  10  10
Value
1,000

8. Teacher Input Exponential Form 104 Read “10 to the 4th power” Multiply
10  10  10  10
Value
10,000

9. Additional Example 1: Writing Numbers in Exponential Form
Teacher Modeling
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.
Copy in your notebook to use as models.

10. Write each expression in exponential form.
Collaborative Practice
Check It Out: 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.

11. Additional Example 2: Finding the Value of Numbers in Exponential Form
Teacher Modeling
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
Copy in your notebook to use as models.

12. Collaborative Practice
Check It Out: Example 2
Find each value.
A. 34
B. 25 34
= 3  3  3  3
= 81 25
= 2  2  2  2  2
= 32

13. Independent Practice
Write each expression in exponential form.
1. 12  12  12
2. 9  9  9  9  9  9  9
Find each value.
123 97
400
1,296
When you finish, complete the secret message math sheet. You may use your notes for the sheet if needed.

14. Closing Exit Ticket 1. Write the following in exponential form.
15  15  15
2. What is the value of 33 ?

15. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems