1. Algebra 1.4
Powers and Exponents

2. Learning Targets Language Goal Math Goal Essential Questions
Students will be able to read and say an exponential expression.
Math Goal
Students will be able to evaluate expressions containing exponents.
Essential Questions
How would you identify the results of operations exponents and square roots?

3. Warm-up

4. Go Over Quiz Take a look at your quiz first on your own.
Do not put it away we will go over it together
You can come in to re-take the quiz. It will be different questions but same format.
Let me know when you would want to re-take it.

5. 3 4 Vocabulary Power An expression written with an exponent and a base
The number that is used as a factor
Ex. 3 is the base
3 4
The number that indicates how many times the base is used as a factor
Ex. 4 is the exponent

6. Introducing Exponents
Tells how many times the base is used as a factor
Base:
The number that is used as a factor
We read this as “a raised to the x power”
It means… 𝑎 𝑥 =𝑎×𝑎×𝑎×𝑎×𝑎…
x times

7. Exponent Notes
Exponents use multiplication. The base gets multiplied the number of times of the exponent.
Example: =
2●2●2●2 = 16

8. Writing Powers for Geometric Models
Write the power represented by each geometric model 4 4 4

9. Sign of Evaluated Power
Negative Bases
Do these powers have the same value?
What will the sign be when these powers are evaluated?
When the base is negative…
−2 2
(−2) 3
Exponent
Sign of Evaluated Power
Even
Odd

10. Example 2:
1. −5 2
2. ( −5) 3
3. −6 2
4. −10 2
7. ( −6) 3

11. Saying Exponents  When x is 1 we say “a raised to the first power”
When x is 2 we say “a squared”
Or you can say “a raised to the second power”
When x is 3 we say “a cubed”
Or you can say “a raised to the third power”
When we are working with exponents we do not say “to the ten power” or “to the four power.”
Instead we say “to the tenth power” and “to the fourth power.”

12. 2 5 ___________ to the _____________ power
 Practice writing out the words for how you would say out loud the following powers.
2 5 ___________ to the _____________ power
__________________________________________
__________________________________________
__________________________________________
_________________________________________
__________________________________________

13. Special Exponents Whenever x is zero, what is the value of our number?
Example: 7 0 =
Whenever x is 1, what is the value of our number?
Example 7 1 =

14. Expanded Form and Standard Form
Example Problem: 6 3
Expanded form: 6●6●6
Standard form: 216

15. Practice
Find the value of these exponents. Write them in standard and expanded form!
Exponent Form
Expanded Form
Standard Form 1. 2. 3. 4. 5. 6. 7. 8. 9.
10.
6 4
298 0
1 5
9 2
7 0
(−8) 3
9234 1
1 0
12 3
−30 2

16. Example 3: Writing a Number as a Power of a Given Base
Ex. 8 is a power of 2 because 2 3 =8
Let’s Try: Write 81 as a power of 3.

17. Example 3: You try: Write 16 as a power of 4.
; Base (-15)

18. Guided Practice:
Try page 29 #2, 6, 11

19. Guided Practice

20. Reading Strategies

21. Reading Strategies

22. Lesson Quiz