February 18, 2014

Today:
Exponents, Exponents, Exponents; (Exponents3)
Test Scores Posted
Khan Topics Posted/Alt.Khan h...
Vocabulary & Formulas Section of Notebook
Exponents are the mathematician's
shorthand.
In general, the format for using exponents is:

(base)exponent
where the expo...
A Summary of Exponent Rules
1.
3.

4.
6.
8.

2.
Also Known as the power of a power rule.

5.
7.
Common Errors with Exponents
Understanding Exponent Rules
Solve:
Practice Problem Section of Notebook
Understanding Exponent Laws:
Understanding Exponent Laws:
Understanding Exponent Laws:
Understanding Exponent Laws:
Understanding Exponent Laws:
Practice Problems
1. 72
2. (-8)2
3. (-9) 3
4. -24

5. -43
Exponent Laws
Simplify to lowest terms:
Exponent Laws
1. p2 • p4 • q3 • q5 =
p 6q 8

Only exponents of the same bases can
be added.

Power of a Power Property
To ...
Exponents: Zero and One as Exponents
This is what the algebra text said about 0 as an exponent:

“When you have a 0 as an ...
Negative and Zero Exponents
Take a look at the following problems and see if you
can find the pattern.

The expression a-n...
Negative and Zero Exponents
Example 1
Example 2

Since 2/3 is in parenthesis, we must apply the power of a
quotient proper...
Negative and Zero Exponents
Example 3
Step 1:

Step 2:
Step 3:
Negative and Zero Exponents
Example 4:

Step 1:
Negative and Zero Exponents
Step 2:

Step 3:

Step 4:
Negative and Zero Exponents
Step 5:

Step 6-7:
Practice Problems
Negative Exponents: Answers
Negative Exponents: Answers
Negative Exponents: Answers
Feb. 18, 2014
Feb. 18, 2014
Upcoming SlideShare
Loading in …5
×

Feb. 18, 2014

843 views

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
843
On SlideShare
0
From Embeds
0
Number of Embeds
540
Actions
Shares
0
Downloads
2
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Feb. 18, 2014

  1. 1. February 18, 2014 Today: Exponents, Exponents, Exponents; (Exponents3) Test Scores Posted Khan Topics Posted/Alt.Khan here Class Work
  2. 2. Vocabulary & Formulas Section of Notebook
  3. 3. Exponents are the mathematician's shorthand. In general, the format for using exponents is: (base)exponent where the exponent tells you how many of the base are being multiplied together.
  4. 4. A Summary of Exponent Rules 1. 3. 4. 6. 8. 2. Also Known as the power of a power rule. 5. 7.
  5. 5. Common Errors with Exponents
  6. 6. Understanding Exponent Rules Solve:
  7. 7. Practice Problem Section of Notebook
  8. 8. Understanding Exponent Laws:
  9. 9. Understanding Exponent Laws:
  10. 10. Understanding Exponent Laws:
  11. 11. Understanding Exponent Laws:
  12. 12. Understanding Exponent Laws: Practice Problems 1. 72 2. (-8)2 3. (-9) 3 4. -24 5. -43
  13. 13. Exponent Laws Simplify to lowest terms:
  14. 14. Exponent Laws 1. p2 • p4 • q3 • q5 = p 6q 8 Only exponents of the same bases can be added. Power of a Power Property To find the power of a power, multiply the exponents.
  15. 15. Exponents: Zero and One as Exponents This is what the algebra text said about 0 as an exponent: “When you have a 0 as an exponent, your answer will always be 1.The only exception is 00, which is undefined”. But this is incorrect. What they meant to say is: When you have a 0 as an exponent, your answer will always almost always be 1. The only exception One exception is 00, which is undefined. But there are others: 40 = 1 50000 = 1 - (-5)0 = -1 50 = 1 (-5)0 = 1 -(5)0 = -1
  16. 16. Negative and Zero Exponents Take a look at the following problems and see if you can find the pattern. The expression a-n is the reciprocal of an Examples:
  17. 17. Negative and Zero Exponents Example 1 Example 2 Since 2/3 is in parenthesis, we must apply the power of a quotient property and raise both the 2 and 3 to the negative 2 power. First take the reciprocal to get rid of the negative exponent. Then raise (3/2) to the second power.
  18. 18. Negative and Zero Exponents Example 3 Step 1: Step 2: Step 3:
  19. 19. Negative and Zero Exponents Example 4: Step 1:
  20. 20. Negative and Zero Exponents Step 2: Step 3: Step 4:
  21. 21. Negative and Zero Exponents Step 5: Step 6-7:
  22. 22. Practice Problems
  23. 23. Negative Exponents: Answers
  24. 24. Negative Exponents: Answers
  25. 25. Negative Exponents: Answers

×