1. Exponents #1

2. 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

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

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

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

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

7. Example 1: Writing Numbers in Exponential Form
Write each expression in exponential form.
A. 5  5  5  5
B. 3  3  3  3  3

8. Example 2: Finding the Value of Numbers in Exponential Form
Find each value.
A. 26
B. 45

9. Example 3
Find each value.
A. 34
B. 25

10. Real-World Application: Example #1
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?

11. Real-World Application: Example #2
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?