επαναληπτικές ασκήσεις στις δυνάμεις και στις...

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    02-Aug-2015
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Transcript of επαναληπτικές ασκήσεις στις δυνάμεις και στις...

1. 2 : " : : ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 6 6 4 3 10 94 3 2 2 2 4 3 23 2 22 3 22 2 2 23 22 4 3 32 2 2 3 2 2 1) 14 : 7 15 :5 36 : 4 1 : 1 2) 1 2 3 4 3 6 3) 2 5 3 6 4 : 5 4) 3 4 3 4 2 7 5 5) 2 4 3 5 3 5 6) 1 4 5 2 7 2 7) 1 7 2 7 6 4 3 8) 1 2 2 3 4 9) 2 - - - - + - + - - - - - - - - - - - - - + + - - - - + - - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - ( ) ( ) 32 2 2 4 3 4 2 2 - - - - " : : 1) 3 2 4 5 4 2 5 2 3 2 3 2 2 2 3 2 3 2) 2 4 2 3 3 2 3 2 3 2 3 2 3 3 2 3) ( ) ( ) ( ) ( )( ) 3 4 2 2 4 4 4 4 4 - - - - - 4) 3 52 3 1 210 5 1 1 2 2 2 1 1 2 2 - - - - 5) ( ) ( ) ( ) 22 3 3 2 3 3 4 1 1 5 5 5 5 1 1 5 5 5 - - - - - - - . - 1 2. 1) 3 2 4 5 4 2 5 2 3 2 3 2 2 3 6 2 2 3 2 3 = = 2) 2 4 2 3 3 2 3 2 2 33 2 3 1 3 22 3 3 2 = = 3) ( ) ( ) ( ) ( )( ) ( ) 3 4 2 2 2 4 4 4 16 4 4 4 = = 4) 3 52 3 1 210 5 1 1 2 2 2 1 2 1 21 1 2 2 = = 5) ( ) ( ) ( ) ( ) 22 3 3 2 2 2 3 3 4 1 1 5 5 5 5 1 1 5 25 1 5 251 1 5 5 5 = = = . - 2 3. 50 . + = 1. 4 6 3 3 6. ( ) ( ) 3 2 3 3 + 2. ( ) ( ) 3 4 3 3 7. ( ) ( ) 3 4 2 2 + + 3. ( ) ( ) 6 4 3 3 8. ( ) ( ) 3 4 2 2 + 4. ( ) ( ) 2 3 3 3 + 9. ( ) ( ) 3 4 2 2 + 5. ( ) ( ) 2 4 4+ + 10. ( ) ( ) 3 4 2 2 . = : = 11. 6 4 3 :3 16. ( ) ( ) 5 2 3 : 3 + 12. ( ) ( ) 7 4 3 : 3 17. ( ) ( ) 6 4 2 : 2 + + 13. ( ) ( ) 8 4 3 : 3 18. ( ) ( ) 6 4 2 : 2 + 14. ( ) ( ) 4 3 3 : 3 + 19. ( ) ( ) 6 4 2 : 2 + 15. ( ) ( ) 2 4 : 4+ + 20. ( ) ( ) 6 4 2 : 2 . ( ) = 21. ( ) 2 2 3 26. 3 3 5 3 22. ( ) 3 2 3 27. ( ) 3 3 5 3 23. ( ) 4 2 3 28. 3 3 5 3 24. ( ) 4 2 3 29. 4 4 5 3 25. ( ) 5 2 3 30. ( ) 4 4 5 3 ____________________________________________________________________________ . - 3 4. 50 . = 31. 3 4 5 36. 3 3 5 3 32. 3 4 5 37. ( ) ( ) 3 3 5 3 33. 3 4 5 38. ( ) 3 3 5 3 34. 4 4 5 39. ( ) 2 2 5 3 35. 2 4 5 40. ( ) 2 2 5 3 . ( ) = 41. ( ) 26 3 46. ( ) 53 3 42. ( ) 26 3 47. ( ) 53 3 43. ( ) 53 3 48. ( ) 32 3 44. ( ) 23 3 49. ( ) 52 3 45. ( ) 32 3 50. ( ) 2 3 3 ____________________________________________________________________________ . - 4 5. 50 () . + = 1. 4 6 4 6 10 3 3 3 3+ = = 2. ( ) ( ) ( ) ( ) 3 4 3 4 7 7 3 3 3 3 3 + = = = 3. ( ) ( ) ( ) ( ) 6 4 6 4 10 10 3 3 3 3 3 + = = = 4. ( ) ( ) ( ) ( ) ( ) ( ) 2 3 2 3 2 3 5 5 3 3 3 3 3 3 3 + + = + + = + = + = 5. ( ) ( ) ( ) ( ) ( ) ( ) 2 2 1 2 1 3 3 4 4 4 4 4 4 4 + + + = + + = + = + = 6. ( ) ( ) ( ) ( ) ( ) ( ) 3 2 3 2 3 2 5 5 3 3 3 3 3 3 3 + + = + + = + = + = 7. ( ) ( ) ( ) ( ) 3 4 3 4 7 7 2 2 2 2 2 + + + = + = + = 8. ( ) ( ) ( ) ( ) ( ) ( ) 3 4 3 4 3 4 7 7 2 2 2 2 2 2 2 + + = + + = + = + = 9. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 3 4 3 4 3 4 3 4 7 7 2 2 2 2 2 2 2 2 2 + + = + + =+ + + =+ =+ = 10. ( ) ( ) ( ) ( ) ( ) ( ) 3 4 3 4 7 7 7 7 2 2 2 2 2 2 2 + = = = + = + = . = : = 11. 6 4 6 4 2 3 :3 3 3 = = 12. ( ) ( ) ( ) ( ) 7 4 7 4 3 3 3 : 3 3 3 3 = = = 13. ( ) ( ) ( ) ( ) 8 4 8 4 4 4 3 : 3 3 3 3 = = = 14. ( ) ( ) ( ) ( ) ( ) ( ) 4 3 4 3 4 3 1 3 : 3 3 : 3 3 3 3 + =+ + =+ =+ = 15. ( ) ( ) ( ) ( ) ( ) ( ) 2 2 1 2 1 1 4 : 4 4 : 4 4 4 4 + + =+ + =+ =+ = 16. ( ) ( ) ( ) ( ) ( ) ( ) 5 2 5 2 5 2 3 3 3 : 3 3 : 3 3 3 3 + = + + = + = + = 17. ( ) ( ) ( ) ( ) 6 4 6 4 2 2 2 : 2 2 2 2 + + = + = + = 18. ( ) ( ) ( ) ( ) ( ) ( ) 6 4 6 4 6 4 2 2 2 : 2 2 : 2 2 2 2 + = + + = + = + = 19. ( ) ( ) ( ) ( ) ( ) ( ) 6 4 6 4 6 4 2 2 2 : 2 2 : 2 2 2 2 + = + + = + = + = 20. ( ) ( ) ( ) ( ) ( ) 6 4 6 4 2 2 2 2 : 2 2 2 2 2 = = = + = . ( ) = 21. ( ) 2 2 2 2 3 2 3 = 22. ( ) ( ) 3 3 3 3 3 2 3 2 3 2 3 = = 23. ( ) ( ) 4 4 4 4 4 2 3 2 3 2 3 = = 24. ( ) ( ) 4 4 4 4 4 2 3 2 3 2 3 = = 25. ( ) ( ) ( ) 5 5 55 5 5 5 2 3 2 3 2 3 2 3 = = + = 26. ( ) 33 3 3 5 3 5 3 15 = = 27. ( ) ( ) ( ) 3 3 33 3 5 3 5 3 15 15 = = = 28. ( ) ( ) 3 33 3 3 5 3 5 3 15 15 = = = 29. ( ) ( ) 4 44 4 4 5 3 5 3 15 15 = = = _________________________________________________________________________________________________________ . - 5 6. 30. ( ) ( ) ( ) 4 4 44 4 5 3 5 3 15 15 = = = . = 31. 3 3 3 4 4 5 5 = 32. ( ) 33 3 3 3 3 3 44 4 4 5 5 5 5 = = = 33. 3 3 3 3 4 4 4 5 5 5 = = 34. 4 4 4 4 4 4 4 5 5 5 = = 35. 2 2 2 2 4 4 4 5 5 5 = = 36. 33 3 5 5 3 3 = 37. ( ) ( ) 3 3 3 3 5 5 5 3 33 = = 38. ( ) 33 3 3 3 3 3 5 5 5 5 3 3 33 = = = 39. ( ) 22 2 2 2 5 5 5 3 33 = = 40. ( ) ( ) 22 2 2 2 2 2 5 5 5 5 3 33 3 = = = . ( ) = 41. ( ) 26 6 2 12 3 3 3 = = 42. ( ) ( ) 2 26 6 12 3 3 3 = = 43. ( ) ( ) 5 53 3 15 3 3 3 = = 44. ( ) ( ) ( ) 23 3 2 6 6 3 3 3 3 = = = 45. ( ) ( ) ( ) 32 2 3 6 6 3 3 3 3 = = = 46. ( ) ( ) 5 3 53 15 3 3 3 =+ = 47. ( ) ( ) ( ) 53 3 5 15 15 3 3 3 3 = = = 48. ( ) ( ) 3 32 2 2 3 6 3 3 3 3 =+ = = 49. ( ) ( ) ( ) 5 52 2 2 5 10 3 3 3 3 = + = + = 50. ( ) 2 3 3 2 6 3 3 3 = = _________________________________________________________________________________________________________ . - 6 7. 4 " : 11.. : i) ii) iii) 1 2// 1 2// 1 2// 54 // . - 7 8. 4 iv) v) vi) 1 2// 54 // 1 2// 4 3 1 1 2// 54 // . - 8 9. 4 vii) viii) 22.. : i) 1 2// 1 2// : // ... // 1 21 2 . - 9 10. 4 ii) : // , 48 = o 72 , 120 = =o o ... // . - 10