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# Feb. 18, 2014

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### 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