1. Powers, Exponents, and Bases

2. Do Now
2x2x2 =
3x3x3x3 =
4x4x4 =
We use exponents and bases to help us write these problems in a shorter way!

3. The fourth power equals
Vocabulary
EXPONENT:This number tells how many copies of the base you need to make!
BASE:The number that gets “copied” 24
We read this as “Two to
The fourth power equals
Sixteen.”
24= 2x2x2x2 =16

4. Think of a Copy Machine

5. Exponents
Make 2 copies of the 3
And multiply! 32
32= 3 x 3 = 9

6. Ex: 81=8 Special Exponents
Any number to the first power is equal to that number!
Never Forget
This!!
Ex: 81=8

7. 160 = 1 00 = undefined! Special Exponents
Any number to the zero power, except 0, is equal to 1!
Never Forget
This!!
160 = 1
00 = undefined!

8. Special Exponents
Explain why any number to the first power is equal to that number.
Write your idea down, then share your idea quietly with your neighbor.
Raise your hand when you think your idea is ready to be shared with the class.
The exponent tells you
How many times the base
Is used. If the exponent
Is 1, then the base is
Only used once!
Therefore it’s equal
To itself!

9. Writing Whole Numbers as Powers
Write the number using an exponent and the given base.
Ex: 81 base 3
“Base 3” means that my base (the
Large number) is 3! 81 is the
Answer that I’m trying to get.
3? = 81 3x3x3x3 =81 so 34 = 81

10. Advanced – Negative Exponents

11. Try it!