Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 6a - Exponents and Rational Functions Mini-Lesson NEGATIVE EXPONENTS If a 0 and n is a rational number, then a EXAMPLES: Rewrite the expressions using only positive exponents. a) 4 1 1 3 4 3 81 b) 3 1 1 1 2x 3 3 3 3 2x 2 x 8x c) 1 x 1 x 1 4 d) x 4 x e) 3y 2 y 2 3 5 ( 3) ( 5) 8 f) ( x )( x ) x x 8 x 3 1 n 1 n a POWER TO A POWER EXAMPLES: a) 3 2 ( ) 3 = 3 6 = 729 ( ) 5 = x 15 b) x 3 a 2 3 6 1 a a c) 6 If a is a real # and m and n are rational #’s, then POWER OF A PRODUCT If a and b are real #’s and n is a rational #, then EXAMPLE: a) (x 2 y 3 ) 4 = (x 2 ) 4 (y 3 ) 4 = x 8 y 12 b) (-2a 5 ) 3 = (-2) 3 (a 5 ) 3 = -8a 15 c) (3x -3 ) 4 = 3 4 (x -3 ) 4 = 81x -12 = 81 x 12 (ab) n = a n b n (a m ) n = a mn Scottsdale Community College Page 242 Intermediate Algebra
Lesson 6a - Exponents and Rational Functions Mini-Lesson Problem 1 MEDIA EXAMPLE–SIMPLIFY EXPRESSIONS USING PROPS OF EXPONENTS Determine the following products: a) (-8x 4 y 7 )(5x 3 y 2 ) = b) (2x + 3)(x – 7) c) (4x + 3) 2 = d) (4x + 2)(x 2 – 4x + 3) = e) (-3x) 2 (xy)(2x) 3 Scottsdale Community College Page 243 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 1b - Linear Equations In the
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Lesson 1b - Linear Equations Mini-L
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Lesson 1b - Linear Equations Practi
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Lesson 2a - Linear Functions and Ap
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Lesson 2b - Functions and Function
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Lesson 3a - Introduction to Exponen
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Lesson 4a - Introduction to Logarit
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Lesson 4b - More on Logarithms This
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Lesson 4b - More on Logarithms Mini
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Lesson 4b - More on Logarithms Prac
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Lesson 5a - Introduction to Quadrat
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Page 287 and 288: Appendix A: You Try Answers Lesson
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Intermediate Algebra – Student Workbook – Second Edition 2013

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