By Larson

Collage Algebra With purposes For enterprise And The existence Sciences Instructor's Annotated variation (Hardcover)

**Read Online or Download College algebra : with applications for business and the life sciences : Instructor's annotated edition PDF**

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**Extra resources for College algebra : with applications for business and the life sciences : Instructor's annotated edition**

**Sample text**

Write fractional answers in simplest form. 1. 22 и 24 ͑14 ͒͑5͒͑4͒ 11͑14 ͒ ϩ 54 Ϫ2 52. 5y 54. 2zy Ϫ3 4 Ϫ3 2 Ϫ2 In Exercises 55–60, write the number in scientific notation. x ϭ Ϫ7 55. Land Area of Earth: 57,300,000 square miles In Exercises 25–44, simplify the expression. 56. Water Area of Earth: 139,500,000 square miles 25. ͑Ϫ5z͒ 26. ͑Ϫ2w͒ 57. Light Year: 9,460,000,000,000 kilometers 27. ͑8x4͒͑2x3͒ 28. 5x4͑x2͒ 58. 0000000000000003 gram 29. 10͑x2͒2 30. ͑4x 4͒3 59. 0000001 meter 31. ͑Ϫz͒3͑3z4͒ 32.

Aman amϩn 2. am ϭ amϪn an 3. ͑ab͒m ϭ ambm 4. ab m ϭ am bm 5. ͑am͒n ϭ amn 6. aϪn ϭ 8. ab Ϫn ϭ Product of Powers x7 ϭ x7Ϫ4 ϭ x3 x4 uQotient of Powers ͑5x͒3 ϭ 53x3 ϭ 125x3 Power of a Product 2x Power of a uQotient 3 ϭ 23 8 ϭ 3 x3 x ͑ y3͒Ϫ4 ϭ y3͑Ϫ4͒ ϭ yϪ12 1 an 7. a0 ϭ 1, 32 и 34 ϭ 32ϩ4 ϭ 36 1 y4 yϪ4 ϭ a Definition of negative exponent ͑x2 ϩ 1͒0 ϭ 1 0 ba , Power of a Power 32 n a 0, b 0 Խ Խ ԽԽ Ϫ3 ϭ 23 Definition of zero exponent 3 Խ22Խ ϭ Խ2Խ2 ϭ 22 9. a2 ϭ a 2 ϭ a2 Notice that these properties of exponents apply for all integers m and n, not just positive integers.

3. 5. 7. 9. ͑23 ͒͑32 ͒ 3͑27 ͒ ϩ 11͑27 ͒ 2. 4. 1 2 Ϭ 2 1 1 1 7 ϩ 3 Ϫ 21 1 1 1 12 Ϫ 3 ϩ 8 6. 8. 10. 3 2. 3 и 35 6 3. 4. 5 55 5. ͑ ͒ 6. ͑ ͒ 7. Ϫ3 8. ͑Ϫ3͒4 33 2 25 3 4 9. 8 и 2Ϫ2 и 4Ϫ1 11. 1 Ϫ3 2 ͑͒ 10. 6 и 2Ϫ3 и 3Ϫ1 12. ͑23 ͒Ϫ3 13. 5Ϫ1 Ϫ 2Ϫ1 14. 4Ϫ1 Ϫ 2Ϫ2 15. ͑23 и 32͒2 16. ͑Ϫ3 и 42͒3 Ϫ 53 53 3 17. 2 Ϫ54 45 3 18. 2 33. 25y8 10y4 34. 10x 9 4x 6 35. 4y 3y 36. 5z 2z 37. 15͑x ϩ 3͒3 9͑x ϩ 3͒2 38. 24͑x Ϫ 2͒2 8͑x Ϫ 2͒4 39. 7x2 x3 40. 5z5 z7 41. x2 и xn x 3 и xn 42. xn и x2n x3n 45. ͑2x5͒0, x x Ϫ5 49.