lowersixth Mr Burrows
Lytchett Minster School, Mathematics Dept. Teacher of Mathematics
 
The exercises below use the following notation:

^ means to the power of

¬ will be used to mean square root

/ means divide

* means multiply

Hope it's not too confusing, I recommend writing the questions out if it is.

Exercise 1A
1. 4^(1/2)    2. 16^(1/2)   3. 8^(1/3)    4. 243^(1/5)
5. 243^(3/5)  6. 8^(-2/3)   7. 10^0       8. 10^(-2)
9. (-7)^-3)   10. (6and1/4)^(1/2)    11. (1and7/9)^(1/2)
12. (4/9)^(-1/2)  13. (8/27)^(2/3)   14. (-27)^(2/3)
15. (5/6)^0     16. (5/6)^(-1)       17. (5/6)^(-2)
18. (15and5/8)^(2/3)   19. (16/25)^(-1/2)
20. (2and7/81)^(1/2)   21. 125^(-2/3)
22. 1296^(1/4)         23. (512/343)^(-2/3)
24. (3and1/16)^(3/2)

Exercise 1B
Simplify:
1. ¬27   2. ¬45   3. ¬162   4. ¬48   5. ¬75   6. ¬147
7. ¬567  8. ¬112  9. ¬12/2   10. ¬98/9       11. ¬18/¬2
12. ¬27/¬3       13. ¬12 + 3¬75     14. ¬200 + ¬18 - 2¬72
15. ¬20 + 2¬45 - 3¬80               16. 5¬6 - ¬24 + ¬294
17. ¬63 - 2¬28 + ¬175

Rationalise the denominators:
18. 1/¬2    19. 1/¬7    20. 7/¬5   21. ¬2/3¬3   22. ¬8/¬32
23. ¬5/¬45    24. ¬3/¬21    25. ¬11/¬132     26. 1/(1-¬2)
27. 1/(¬3-1)  28. 2/(¬5-1)  29. 3/(4-¬7)     30. 1/(3-¬7)
31. 1/(¬11-4) 32. 1/(¬7-¬3) 33. 2/(¬11-¬5)   34. 7/(¬13-¬3)
35. 7/(2+¬7)  36. (2-¬3)/(¬11-4)     37. 7¬2/(¬8-¬7)
38. (¬5-¬3)/(¬5+¬3)      39. (¬13-¬7)/(¬13+¬7)
40. (¬43-¬23)/(¬43+¬23)
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Last updated  2008/09/28 08:00:02 PDTHits  167