Name_______________________________ Period _______ Date
Name_______________________________ Period _______ Date__________________
Exponents: Positive and Negative Bases
For problems 1 – 6, match the problem with its equivalent.
1. [pic] A. [pic]
2. [pic] B. [pic]
3. [pic] C. [pic]
4. [pic] D. [pic]
5. [pic] E. [pic]
6. [pic] F. [pic]
For problems 7 – 12, write out how to solve each problem. Do NOT MULTIPLY to find the answer. I just want you to set it up.
7. [pic] 8. [pic]
9. [pic] 10. [pic]
11. [pic] 12. [pic]
For problems 13 – 18, solve.
13. [pic] 14. [pic] 15. [pic]
16. [pic] 17. [pic] 18. [pic]
For problems 19 – 25, multiply the integers.
19. [pic] 20. [pic]
21. [pic] 22. [pic]
23. [pic] 24. [pic]
25. [pic] 26. [pic]
For 5 points, finish the table and answer the question.
|Exponents |Expansion |Answer |
|[pic] |[pic] |[pic] |
|[pic] |[pic] |1 |
|[pic] |[pic] |[pic] |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
|[pic] | | |
What pattern do you notice in the answers?
For 4 points, think about continuing to pattern to solve:
[pic]=________
Name ___ANSWER KEY_______________ Period _______ Date__________________
Exponents: Positive and Negative Bases
For problems 1 – 6, match the problem with its equivalent.
1. [pic] A. [pic]
2. [pic] B. [pic]
3. [pic] C. [pic]
4. [pic] D. [pic]
5. [pic] E. [pic]
6. [pic] F. [pic]
For problems 7 – 12, write out how to solve each problem. Do NOT MULTIPLY to find the answer. I just want you to set it up.
7. [pic] 8. [pic]
9. [pic] 10. [pic]
11. [pic] 12. [pic]
For problems 13 – 18, solve.
13. [pic] 14. [pic] 15. [pic]
16. [pic] 17. [pic] 18. [pic]
For problems 19 – 25, multiply the integers.
19. [pic] 20. [pic]
21. [pic] 22. [pic]
23. [pic] 24. [pic]
25. [pic] 26. [pic]
For 5 points, finish the table and answer the question.
|Exponents |Expansion |Answer |
|[pic] |[pic] |[pic] |
|[pic] |[pic] |1 |
|[pic] |[pic] |[pic] |
|[pic] | |1 |
|[pic] | |-1 |
|[pic] | |1 |
|[pic] | |-1 |
|[pic] | |1 |
What pattern do you notice in the answers?
The answers alternate between 1 and -1.
For 4 points, think about continuing to pattern to solve:
[pic]=___-1___
-----------------------
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
[pic]
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