R_8 - Chapter R 49 Review R.8 n th Roots Rational Exponents...

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Unformatted text preview: Chapter R 49 Review R.8 n th Roots; Rational Exponents 1. index 2. cube root 3. True 4. False 5. 27 3 = 3 3 3 = 3 6. 16 4 = 2 4 4 = 2 = 2 7. - 8 3 =- 2 ( 29 3 3 = - 2 8. - 1 3 =- 1 ( 29 3 3 = - 1 9. 8 = 4 ⋅ 2 = 2 2 10. 54 3 = 27 ⋅ 2 3 = 3 2 3 11. - 8 x 4 3 =- 8 ⋅ x 3 ⋅ x 3 = - 2 x x 3 12. 48 x 5 4 = 16 ⋅ 3 ⋅ x 4 ⋅ x 4 = 2 x 3 x 4 13. x 12 y 8 4 = x 3 ( 29 4 y 2 ( 29 4 4 = x 3 y 2 14. x 10 y 5 5 = x 2 ( 29 5 y 5 ( 29 5 = x 2 y 15. x 9 y 7 x y 3 4 = x 8 y 4 4 = x 2 y 16. 3 xy 2 81 x 4 y 2 3 = 1 27 x 3 3 = 1 3 x 17. 36 x = 6 x 18. 9 x 5 = 3 x 4 ⋅ x = 3 x 2 x 19. 3 x 2 12 x = 36 x 2 ⋅ x = 6 x x 20. 5 x 20 x 3 = 100 x 4 = 10 x 2 21. 5 9 3 ( 29 2 = 5 81 3 ( 29 = 5 27 ⋅ 3 3 ( 29 = 5 ⋅ 3 3 3 ( 29 = 15 3 3 22. 3 3 10 ( 29 4 = 81 3 10000 = 100 27 ⋅ 3 3 = 100 ⋅ 3 3 3 = 300 3 3 23. 3 6 ( 29 2 2 ( 29 = 6 12 = 6 4 ⋅ 3 = 12 3 24. 5 8 ( 29- 3 3 ( 29 = - 15 24 = - 15 4 ⋅ 6 = - 30 6 25. 3 2 + 4 2 = 7 2 26. 6 5- 4 5 = 2 5 27.- 18 + 2 8 = - 9 ⋅ 2 + 2 4 ⋅ 2 = - 3 2 + 4 2 = 2 Chapter R Review 50 28. 2 12- 3 27 = 2 4 ⋅ 3- 3 9 ⋅ 3 = 4 3- 9 3 = - 5 3 29. 3 + 3 ( 29 3- 1 ( 29 = 3 ( 29 2- 3 + 3 3- 3 = 3 + 2 3- 3 = 2 3 30. 5- 2 ( 29 5 + 3 ( 29 = 5 ( 29 2 + 3 5- 2 5- 6 = 5 + 5- 6 = - 1 + 5 31. 5 2 3- 2 54 3 = 5 2 3- 2 27 ⋅ 2 3 = 5 2 3- 6 2 3 = - 2 3 32. 9 24 3- 81 3 = 9 8 ⋅ 3 3- 27 ⋅ 3 3 = 18 3 3- 3 3 3 = 15 3 3 33. x- 1 ( 29 2 = x ( 29 2- 2 x + 1 = x- 2 x + 1 34. x + 5 ( 29 2 = x ( 29 2 + 2 x 5 + 5 ( 29 2 = x + 2 5 x + 5 35. 16 x 4 3- 2 x 3 = 8 ⋅ 2 ⋅ x 3 ⋅ x 3- 2 x 3 = 2 x 2 x 3- 2 x 3 = 2 x- 1 ( 29 2 x 3 36. 32 x 4 + 2 x 5 4 = 16 ⋅ 2 x 4 + 2 x 4 ⋅ x 4 = 2 ⋅ 2 x 4 + x ⋅ 2 x 4 = 2 x 4 2 + x ( 29 37. 8 x 3- 3 50 x = 4 ⋅ 2 x 2 ⋅ x- 3 25 ⋅ 2 x = 2 x 2 x- 15 2 x = 2 x 2 x- 15 ( 29 38. 3 x 9 y + 4 25 y 9 x y + 20 y = y 9 x + 20 ( 29 39. 16 x 4 y 3- 3 x 2 xy 3 + 5 - 2 xy 4 3 = 8 ⋅ 2 x 4 y 3- 3 x 2 xy 3- 5 y 2 xy 3 = 2 x 2 xy 3- 3 x 2 xy 3- 5 y 2 xy 3 = 2 xy 3 2 x- 3 x- 5 y ( 29 = 2 xy 3- x- 5 y ( 29 40. 8 xy- 25 x 2 y 2 + 8 x 3 y 3 3 = 8 xy- 5 xy + 2 xy = 5 xy 41. 1 2 ⋅ 2 2 = 2 2 42. 2 3 ⋅ 3 3 = 2 3 3 43.- 3 5 ⋅ 5 5 =- 15 5 = - 15 5 44.- 3 3 8 ⋅ 8 8 =- 3 3 8 8 = - 3 3 4 ⋅ 2 8 = - 3 3 ⋅ 2 2 8 = - 3 3 2 4 Section R.8 n th Roots; Rational Exponents 51 45....
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This note was uploaded on 04/07/2008 for the course MAC 1105 taught by Professor Any during the Spring '08 term at FIU.

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R_8 - Chapter R 49 Review R.8 n th Roots Rational Exponents...

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