By Richard N. Aufmann, Vernon C. Barker, Richard D. Nation
Available to scholars and versatile for teachers, collage ALGEBRA AND TRIGONOMETRY, 7th version, makes use of the dynamic hyperlink among strategies and functions to deliver arithmetic to existence. by means of incorporating interactive studying recommendations, the Aufmann staff is helping scholars to raised comprehend thoughts, paintings independently, and acquire better mathematical fluency. The textual content additionally contains know-how positive aspects to house classes that let the choice of utilizing graphing calculators. The authors' confirmed Aufmann Interactive strategy permits scholars to attempt a ability because it is gifted in instance shape. This interplay among the examples and check out workouts serves as a checkpoint to scholars as they learn the textbook, do their homework, or examine a bit. within the 7th variation, overview Notes are featured extra prominently during the textual content to assist scholars realize the main prerequisite abilities had to comprehend new techniques.
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Available to scholars and versatile for teachers, university ALGEBRA AND TRIGONOMETRY, 7th variation, makes use of the dynamic hyperlink among recommendations and functions to convey arithmetic to existence. through incorporating interactive studying ideas, the Aufmann workforce is helping scholars to higher comprehend suggestions, paintings independently, and acquire higher mathematical fluency.
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Extra info for College Algebra and Trigonometry
2 INTEGER AND RATIONAL NUMBER EXPONENTS 25 Because radicals are defined in terms of rational powers, the properties of radicals are similar to those of exponential expressions. Properties of Radicals If m and n are natural numbers and a and b are positive real numbers, then Product 1a # 1b = 1ab Quotient 1a n a = n Ab 1b Index 31a = 2a n n n n m n mn A radical is in simplest form if it meets all of the following criteria. 1. The radicand contains only powers less than the index. ) 9 3 2. The index of the radical is as small as possible.
5 - 7( -2) - 16 , 8 = 5 - (- 14) - 2 • Evaluate 23 = 8. = 17 • Perform addition and subtraction from left to right. EXAMPLE 9 • Perform multiplication and division from left to right. Use the Order of Operations Agreement Evaluate: 3 # 5 2 - 6( - 3 2 - 4 2) , ( -15) Solution 3 # 5 2 - 6(-3 2 - 4 2) , ( -15) = 3 # 5 2 - 6( -9 - 16) , ( - 15) = 3 # 5 2 - 6( -25) , ( - 15) • Begin inside the parentheses. = • Evaluate 5 2. 3 # 25 - 6( - 25) , ( -15) = 75 + 150 , (- 15) = 75 + (-10) = 65 Try Exercise 80, page 15 • Simplify - 9 - 16.
27. 6a4 22. (- 6x4y)(7x-3y-5) 24. 8a8 12x3y4 26. 18x5y 2 36a-2b3 28. 4 3ab x 5v4w-3 10v8 -48ab10 -32a b 4 3 31. (x-2y)2(xy)-2 32. (x-1y 2)-3(x2y-4)-3 33. a 35. 3a 2b 3 b 4 2 6a4b ( -4x 2y 3)2 37. a (2xy 2)3 a-2b a3b b -4 2 3 2 3 34. a 36. 4 * 1018) 52. 54. 8 * 10-8) In Exercises 55 to 76, evaluate each exponential expression. 16x4 30. (2a b ) (- 4a b ) 2 2 50. 12x3 29. (-2m n )( -3mn ) 3 2 53. 9 * 10-3 48. 4 * 10-6) 4 2 2ab 2c3 5ab 2 b (- 2ab4)3 x-3y-4 x-2y b 56. - 163>2 57. - 642>3 58. 1254>3 59.
College Algebra and Trigonometry by Richard N. Aufmann, Vernon C. Barker, Richard D. Nation