Feb. 18, 2014
Transcript of Feb. 18, 2014
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Today:Exponents, Exponents, Exponents;
(Exponents3)Test Scores Posted
Khan Topics Posted/Alt.Khan hereClass Work
February 18, 2014
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Vocabulary & Formulas Section of Notebook
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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.
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A Summary of Exponent Rules
1. 2.
5.
6. 7.
8.
3. Also Known as the power of a power rule.
4.
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Common Errors with Exponents
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Understanding Exponent Rules
Solve:
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Practice Problem Section of Notebook
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Understanding Exponent Laws:
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Understanding Exponent Laws:
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Understanding Exponent Laws:
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Understanding Exponent Laws:
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Practice Problems
1. 72
2. (-8)2
3. (-9) 3
4. -24
5. -43
Understanding Exponent Laws:
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Exponent Laws
Simplify to lowest terms:
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Exponent Laws
1. p2 • p4 • q3 • q5 =
p6q8
Only exponents of the same bases can be added.
Power of a Power Property
To find the power of a power, multiply the exponents.
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Exponents: Zero and One as Exponents
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 50 = 1 (-5)0 = 1 -(5)0 = -1
- (-5)0 = -1
“When you have a 0 as an exponent, your answer will always be 1.The only exception is 00, which is undefined”.
This is what the algebra text said about 0 as an exponent:
But this is incorrect. What they meant to say is:
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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:
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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.
Negative and Zero Exponents
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Example 3
Step 1:
Step 2:
Step 3:
Negative and Zero Exponents
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Example 4:
Step 1:
Negative and Zero Exponents
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Step 2:
Step 3:
Step 4:
Negative and Zero Exponents
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Step 5:
Step 6-7:
Negative and Zero Exponents
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Practice Problems
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Negative Exponents: Answers
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Negative Exponents: Answers
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Negative Exponents: Answers