mgb5e_ppt_3_2 - 3.2 Graphing Linear Equations Linear...

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Chapter 5 Exponents and Polynomials
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§ 5.1 Exponents
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Martin-Gay, Beginning Algebra, 5ed 3 Exponents Exponents that are natural numbers are shorthand notation for repeating factors. 3 4 = 3 • 3 • 3 • 3 3 is the base 4 is the exponent (also called power ) Note by the order of operations that exponents are calculated before other operations.
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Martin-Gay, Beginning Algebra, 5ed 4 Evaluate each of the following expressions. 3 4 = 3 • 3 • 3 • 3= 81 (–5) 2 = (– 5)(–5) = 25 –6 2 = – (6)(6) = –36 (2 • 4) 3 = (2 • 4)(2 • 4)(2 • 4) = 8 • 8 • 8 = 512 3 • 4 2 = 3 • 4 • 4 = 48 Evaluating Exponential Expressions Example:
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Martin-Gay, Beginning Algebra, 5ed 5 Evaluate each of the following expressions. Evaluating Exponential Expressions a.) Find 3 x 2 when x = 5. b.) Find –2 x 2 when x = –1. 3 x 2 = 3( 5 ) 2 = 3(5 · 5) = 3 · 25 –2 x 2 = –2( –1 ) 2 = –2(–1)(–1) = –2(1) = 75 = –2 Example:
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Martin-Gay, Beginning Algebra, 5ed 6 Product Rule for Exponents
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mgb5e_ppt_3_2 - 3.2 Graphing Linear Equations Linear...

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