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R.6 EXERCISES Evaluate each expression. Write all answers without exponents. R.7 Radicals R-25 1.8-2 3.5° 5.-(-3)-2 7. A 2.3-4 4. 6-(-3) 8. 36 1/2 31. 64 1/3 144, 32. 33. 8-4/3 34. 625-1/4 35. 27-1/3 64 121 -3/2 36. 100 Simplify each expression. Assume that all variables represent pos- itive real numbers. Write answers with only positive exponents. Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 37. 32/3.34/3 38. 272/3.27-1/3 9. 89-8-7 49/4.4-7/4 10. 39. 3-5/2.33/2 8-3 4- -10/4 40. 37/2.3-9/2 10%-10-10 1/2 11. 7-12.73-1 41. 104-102 12. 42. -8 13. 10 7-1/3-7r -3 "y" 43. a-b-1\/3 b-4a² 123/4 125/4 y 14. 7213(-2)2 44. (4k-1)2 . 15. (322)-1 45. 3k² (4k-³)-1 12-1. (y-3)-2 8p (4p)-2) 2k-5 16. 41/2 k7/2 46. p-s b1/2 3-1 17. 5my 47. x3/2 4/5 2-3/4 18. a2/3. b-3/2 48. 5/3 5²m-ly-2 k -3/5 -h-1/3.2/5 7/3 49. m 19. 20. ·(6) k-1/5 h -2/3 1/5 n -6/5.21/2 -2/5 50. . 2/3 m 13/5 -5/8 Simplify each expression, writing the answer as a single term without negative exponents. 21. a + bl 2n-1-2m 23. m+ n² 25. (x-yl)-1 22. b-2-a m 24. 26. (x-y-yl)-1 Write each number without exponents. + Factor each expression. 51. 3x(x2+3x) - 15x(x² + 3x) 2 52. 6x(x+7)²-6x²(3x² + 5)(x³ + 7) 53. 10x(x 1)-1/2-5x(x² - 1) 1/2 - 54. 9(6x+2)/2+3(9x1)(6x + 2)-1/2 55. x(2x+5)2(x-4)-1/2 + 2(x²-4) 1/2(2x+5) 56. (4x² + 1)(2x-1)-1/2 + 16x(4x2 + 1)(2x-1) 1/2 YOUR TURN ANSWERS 27. 1211/2 29. 322/5 28. 271/3 30.-1252/3 1. z16/y10 2. z-2/3 (5z+4)

R.6 EXERCISES Evaluate each expression. Write all answers without exponents. R.7 Radicals R-25 1.8-2 3.5° 5.-(-3)-2 7. A 2.3-4 4. 6-(-3) 8. 36 1/2 31. 64 1/3 144, 32. 33. 8-4/3 34. 625-1/4 35. 27-1/3 64 121 -3/2 36. 100 Simplify each expression. Assume that all variables represent pos- itive real numbers. Write answers with only positive exponents. Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 37. 32/3.34/3 38. 272/3.27-1/3 9. 89-8-7 49/4.4-7/4 10. 39. 3-5/2.33/2 8-3 4- -10/4 40. 37/2.3-9/2 10%-10-10 1/2 11. 7-12.73-1 41. 104-102 12. 42. -8 13. 10 7-1/3-7r -3 "y" 43. a-b-1\/3 b-4a² 123/4 125/4 y 14. 7213(-2)2 44. (4k-1)2 . 15. (322)-1 45. 3k² (4k-³)-1 12-1. (y-3)-2 8p (4p)-2) 2k-5 16. 41/2 k7/2 46. p-s b1/2 3-1 17. 5my 47. x3/2 4/5 2-3/4 18. a2/3. b-3/2 48. 5/3 5²m-ly-2 k -3/5 -h-1/3.2/5 7/3 49. m 19. 20. ·(6) k-1/5 h -2/3 1/5 n -6/5.21/2 -2/5 50. . 2/3 m 13/5 -5/8 Simplify each expression, writing the answer as a single term without negative exponents. 21. a + bl 2n-1-2m 23. m+ n² 25. (x-yl)-1 22. b-2-a m 24. 26. (x-y-yl)-1 Write each number without exponents. + Factor each expression. 51. 3x(x2+3x) - 15x(x² + 3x) 2 52. 6x(x+7)²-6x²(3x² + 5)(x³ + 7) 53. 10x(x 1)-1/2-5x(x² - 1) 1/2 - 54. 9(6x+2)/2+3(9x1)(6x + 2)-1/2 55. x(2x+5)2(x-4)-1/2 + 2(x²-4) 1/2(2x+5) 56. (4x² + 1)(2x-1)-1/2 + 16x(4x2 + 1)(2x-1) 1/2 YOUR TURN ANSWERS 27. 1211/2 29. 322/5 28. 271/3 30.-1252/3 1. z16/y10 2. z-2/3 (5z+4)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 28RE
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R.6 EXERCISES Evaluate each expression. Write all answers without exponents. R.7 Radicals R-25 1.8-2 3.5° 5.-(-3)-2 7. A 2.3-4 4. 6-(-3) 8. 36 1/2 31. 64 1/3 144, 32. 33. 8-4/3 34. 625-1/4 35. 27-1/3 64 121 -3/2 36. 100 Simplify each expression. Assume that all variables represent pos- itive real numbers. Write answers with only positive exponents. Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 37. 32/3.34/3 38. 272/3.27-1/3 9. 89-8-7 49/4.4-7/4 10. 39. 3-5/2.33/2 8-3 4- -10/4 40. 37/2.3-9/2 10%-10-10 1/2 11. 7-12.73-1 41. 104-102 12. 42. -8 13. 10 7-1/3-7r -3 "y" 43. a-b-1\/3 b-4a² 123/4 125/4 y 14. 7213(-2)2 44. (4k-1)2 . 15. (322)-1 45. 3k² (4k-³)-1 12-1. (y-3)-2 8p (4p)-2) 2k-5 16. 41/2 k7/2 46. p-s b1/2 3-1 17. 5my 47. x3/2 4/5 2-3/4 18. a2/3. b-3/2 48. 5/3 5²m-ly-2 k -3/5 -h-1/3.2/5 7/3 49. m 19. 20. ·(6) k-1/5 h -2/3 1/5 n -6/5.21/2 -2/5 50. . 2/3 m 13/5 -5/8 Simplify each expression, writing the answer as a single term without negative exponents. 21. a + bl 2n-1-2m 23. m+ n² 25. (x-yl)-1 22. b-2-a m 24. 26. (x-y-yl)-1 Write each number without exponents. + Factor each expression. 51. 3x(x2+3x) - 15x(x² + 3x) 2 52. 6x(x+7)²-6x²(3x² + 5)(x³ + 7) 53. 10x(x 1)-1/2-5x(x² - 1) 1/2 - 54. 9(6x+2)/2+3(9x1)(6x + 2)-1/2 55. x(2x+5)2(x-4)-1/2 + 2(x²-4) 1/2(2x+5) 56. (4x² + 1)(2x-1)-1/2 + 16x(4x2 + 1)(2x-1) 1/2 YOUR TURN ANSWERS 27. 1211/2 29. 322/5 28. 271/3 30.-1252/3 1. z16/y10 2. z-2/3 (5z+4)
Transcribed Image Text:R.6 EXERCISES Evaluate each expression. Write all answers without exponents. R.7 Radicals R-25 1.8-2 3.5° 5.-(-3)-2 7. A 2.3-4 4. 6-(-3) 8. 36 1/2 31. 64 1/3 144, 32. 33. 8-4/3 34. 625-1/4 35. 27-1/3 64 121 -3/2 36. 100 Simplify each expression. Assume that all variables represent pos- itive real numbers. Write answers with only positive exponents. Simplify each expression. Write all answers with only positive exponents. Assume that all variables represent positive real numbers. 37. 32/3.34/3 38. 272/3.27-1/3 9. 89-8-7 49/4.4-7/4 10. 39. 3-5/2.33/2 8-3 4- -10/4 40. 37/2.3-9/2 10%-10-10 1/2 11. 7-12.73-1 41. 104-102 12. 42. -8 13. 10 7-1/3-7r -3 "y" 43. a-b-1\/3 b-4a² 123/4 125/4 y 14. 7213(-2)2 44. (4k-1)2 . 15. (322)-1 45. 3k² (4k-³)-1 12-1. (y-3)-2 8p (4p)-2) 2k-5 16. 41/2 k7/2 46. p-s b1/2 3-1 17. 5my 47. x3/2 4/5 2-3/4 18. a2/3. b-3/2 48. 5/3 5²m-ly-2 k -3/5 -h-1/3.2/5 7/3 49. m 19. 20. ·(6) k-1/5 h -2/3 1/5 n -6/5.21/2 -2/5 50. . 2/3 m 13/5 -5/8 Simplify each expression, writing the answer as a single term without negative exponents. 21. a + bl 2n-1-2m 23. m+ n² 25. (x-yl)-1 22. b-2-a m 24. 26. (x-y-yl)-1 Write each number without exponents. + Factor each expression. 51. 3x(x2+3x) - 15x(x² + 3x) 2 52. 6x(x+7)²-6x²(3x² + 5)(x³ + 7) 53. 10x(x 1)-1/2-5x(x² - 1) 1/2 - 54. 9(6x+2)/2+3(9x1)(6x + 2)-1/2 55. x(2x+5)2(x-4)-1/2 + 2(x²-4) 1/2(2x+5) 56. (4x² + 1)(2x-1)-1/2 + 16x(4x2 + 1)(2x-1) 1/2 YOUR TURN ANSWERS 27. 1211/2 29. 322/5 28. 271/3 30.-1252/3 1. z16/y10 2. z-2/3 (5z+4)
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