Definition/Procedure Example 10.1 The Product Rule and Power Rules n Quotient Rule: If a 0, then am an amn. (p. 778) 3 Simplify. 49 46 496 43 64 10.2 Integer Exponents and the Quotient Rule Zero Exponent: If a 0, then a0 1. (p. 776) Negative Exponent: For a 0, an 1 an. (p. 777) (9)0 1 34 1 34 1 81 p10 1 p10 (p 0) Chapter 10: Summary Exponential Expression: an a a a p a n factors of a a is the base, n is the exponent. (p. 769) Product Rule: am an amn (p. 771) Basic Power Rule: (am)n amn (p. 771) Power Rule for a Product: (ab)n anbn (p. 772) Power Rule for a Quotient: a a b b an bn, where b 0. (p. 773) 54 5 5 5 5 5 is the base, 4 is the exponent. 73 75 735 78 (t3)5 t15 (2c)4 24c4 16c4 a w 5 b w3 53 w3 125 10.3 Scientific Notation Scientific Notation A number is in scientifi c notation if it is written in the form a 10n, where 1 |a| 10 and n is an integer. That is, a is a number that has one nonzero digit to the left of the decimal point. (p. 785) Converting from Scientific Notation (p. 786) Performing Operations (p. 787) Write in scientifi c notation. a) 78,000 S 78,000 S 7.8 104 b) 0.00293 S 0.00293 S 2.93 103 Write without exponents. a) 5 104 S 0005. S 0.0005 b) 1.7 106 1.700000 S 1,700,000 Multiply (4 102)(2 104). (4 2)(102 104) 8 106 8,000,000 804 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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