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Laws of Exponents

1. If x is a positive quantity , the expression could be simplified to :

2. The expression could be simplified to :

3. If b is a positive quantity , the expression could be simplified to :


(e) The given expression cannot be simplified any further.

4. The expression could be simplified to :

5. The expression could be simplified to :


6. The expression could be simplified to :

7. The expression could be simplified to :

8. The expression could be simplified to :

9. The expression could be simplified to:


(e) The given expression cannot be simplified further.

10. The expression could be simplified to:

11. The expression could be simplified to:

12. The expression could be simplified to:


(d) More information on a and b is needed in order to simplify the given expression any further.
(e) The given expression cannot be simplified because it is undefined.

13. If x is a positive quantity , the expression could be simplified to:

14. The expression could be simplified to:

15. The expression could be simplified to:

Answers:

1. e 2. a 3. b 4. d 5. c
6. e 7. e 8. a 9. b 10. d
11. a 12. c 13. e 14. b 15. d

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