R.2 Integer Exponents and Scientific Notation
Miller & Gerken, College Algebra 2e — Pages 18-31
Learning Objectives
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Apply the product rule for exponents
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Apply the quotient rule for exponents
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Apply the power rule for exponents
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Simplify expressions with zero and negative exponents
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Convert between standard notation and scientific notation
Key Concepts
Laws of Exponents
| Rule | Formula |
|---|---|
Product Rule |
\(a^m \cdot a^n = a^{m+n}\) |
Quotient Rule |
\(\frac{a^m}{a^n} = a^{m-n}\) |
Power Rule |
\((a^m)^n = a^{mn}\) |
Power of Product |
\((ab)^n = a^n b^n\) |
Power of Quotient |
\(\left(\frac{a}{b}\right)^n = \frac{a^n}{b^n}\) |
Zero Exponent |
\(a^0 = 1, \quad a \neq 0\) |
Negative Exponent |
\(a^{-n} = \frac{1}{a^n}\) |
Scientific Notation
Notes here…
Examples
Example 1. Example 1 (p. XX)
Work through textbook example…
Practice Problems
Problem 1 (p. XX, #YY)
Problem:
My Work:
Answer:
Section Summary
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Key point 1
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Key point 2
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Key point 3