Exponents #1

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

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

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

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

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

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

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

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

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?

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?