1. EXPONENTS
Today you will learn how to represent numbers using exponents.
We will discuss vocabulary.
We will discuss exponential form and evaluate expressions involving exponents.
We will practice examples.

2. Vocabulary Word Definition factor
a number multiplied by another number to get a product. 2 x 3 = 6 (2 and 3 are factors of 6)
exponent
The number that indicates how many times the base is used as a factor. Example: 34
The exponent is 4. Meaning 3 x 3 x 3 x 3—multiply 3 four times.
base
When a number is raised to a power, the number that is used as a factor is the base. Example: 34
The base is 3. “Big, Base”
power
A number produced by raising the base to an exponent. 53
How we speak math: “5 raised to the third power”
“The exponent has power over the base”

3. squared—when the exponent is a 2 you can say “squared”
Special Powers
squared—when the exponent is a 2 you can say “squared”
cubed—when the exponent is a 3 you can say “cubed”
SPECIAL RULES!!!!
Any base that is raised to the zero power always equals 1.
Any base raised to the first power always equals the base.

4. Perfect square—you can take any number, square it, and find a perfect square
Examples:

5. Examples to try together:
Evaluate each expression. 4³
2 to the 4th power 5²
7 to the 0 power
Write each expression in exponential form.
7x7x7x7x7
1x1x1x1
9x9x9
18x18

6. In case Dana’s school closes, a phone tree is used to contact each student’s family. The secretary calls 3 families. Then each of those families calls 3 other families, and so on. How many families will be notified during the 6th round of calls?

7. Examples to try on your own
Write each expression in exponential form.
8x8x8
7x7x7x7x7x7x7x7
3x3x3x3
Evaluate each expression. 6² 3³
1 to the 12th power
12 to the 1st power
789 to the zero power

8. One person will contact 4 people
One person will contact 4 people. Each of those will contact 4 other people, and so on. How many people will be contacted in the 5th round?

9. HOMEWORK
Exponent Worksheet 1-3