The document is about exponents and exponent rules. It discusses the format for exponents as (base)exponent, where the exponent tells how many times the base is multiplied by itself. It lists some common exponent rules like the power of a power rule. It provides examples of simplifying expressions using exponent rules as well as examples of working with negative and zero exponents. Practice problems are included for understanding exponents and exponent laws.

1. February 18, 2014
Today:
Exponents, Exponents, Exponents; (Exponents3)
Test Scores Posted
Khan Topics Posted/Alt.Khan here
Class Work

2. Vocabulary & Formulas Section of Notebook

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. A Summary of Exponent Rules
1.
3.
4.
6.
8.
2.
Also Known as the power of a power rule.
5.
7.

5. Common Errors with Exponents

6. Understanding Exponent Rules
Solve:

7. Practice Problem Section of Notebook

8. Understanding Exponent Laws:

9. Understanding Exponent Laws:

10. Understanding Exponent Laws:

11. Understanding Exponent Laws:

12. Understanding Exponent Laws:
Practice Problems
1. 72
2. (-8)2
3. (-9) 3
4. -24
5. -43

15. Exponent Laws
Simplify to lowest terms:

16. 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.

17. 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

18. 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:

19. 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.

20. Negative and Zero Exponents
Example 3
Step 1:
Step 2:
Step 3:

21. Negative and Zero Exponents
Example 4:
Step 1:

22. Negative and Zero Exponents
Step 2:
Step 3:
Step 4:

23. Negative and Zero Exponents
Step 5:
Step 6-7:

24. Practice Problems

25. Negative Exponents: Answers

26. Negative Exponents: Answers

27. Negative Exponents: Answers