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Download e-book for kindle: Algebra & Trigonometry by Cynthia Y. Young

By Cynthia Y. Young

ISBN-10: 0470648031

ISBN-13: 9780470648032

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4-3 # 1 1 33 = 1 , a 3b = 1 # = 33 = 27 1 1 3 a 3b 3 1 1 16 = 3 # 24 = = 64 2-4 4 d. - 23 # 1 4 1 = - 23 # (- 6)2 = (- 8)(36) = (-6)-2 Ϫ8 36 ■ YO U R T U R N u b. qxd Evaluate the expressions. a. - 1 5-2 b. 1 # -2 6 3-2 - 288 ■ Answer: a. Ϫ25 b. qxd 8/7/12 20 5:34 PM Page 20 C H A P T E R 0 Prerequisites and Review Now we can evaluate expressions involving positive and negative exponents. How do we evaluate an expression with a zero exponent? We define any nonzero real number raised to the zero power as 1.

Integer Exponents The following table summarizes integer exponents. Let a be any real number and n be a natural number. NAME DESCRIPTION Natural-number exponent MATH a = a#a#apa n Multiply n factors of a. qxd n factors Negative-integer exponent property A negative exponent implies a reciprocal. a-n = Zero-exponent property Any nonzero real number raised to the zero power is equal to one. a0 ϭ 1 1 an a Z 0 a Z 0 Properties of Integer Exponents The following table summarizes properties of integer exponents.

S. citizens as opposed to writing out 300,000,000 citizens. Or we say that the national debt is $14 trillion as opposed to writing out $14,000,000,000,000. The following table contains scientific notation for positive exponents and examples of some common prefixes and abbreviations. One of the fundamental applications of scientific notation is measurement. 2 Integer Exponents and Scientific Notation N UMBER Z EROS F OLLOWING THE 1 23 OF E XPONENTIAL F ORM R EAL N UMBER 1 10 10 100 2 103 1000 (one thousand) 3 104 10,000 4 5 100,000 5 106 1,000,000 (one million) 6 107 10,000,000 7 10 8 100,000,000 8 109 1,000,000,000 (one billion) 9 1010 10,000,000,000 10 1011 100,000,000,000 11 12 1,000,000,000,000 (one trillion) 12 10 10 ABBREVIATION E XAMPLE kilo- k The relay-for-life team ran a total of 80 km (kilometers).

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Algebra & Trigonometry by Cynthia Y. Young

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