Exponent Rules & Practice PDF
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Uploaded by BreathtakingMilwaukee8260
Oakridge International School
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Summary
This document contains exponent rules and examples. It presents a range of practice questions for students to apply the learned rules to solve equations.
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EXPONENT RULES & PRACTICE 1. PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents. · Examples: A. · B. 2 · 2 2 C. ...
EXPONENT RULES & PRACTICE 1. PRODUCT RULE: To multiply when two bases are the same, write the base and ADD the exponents. · Examples: A. · B. 2 · 2 2 C. 2. QUOTIENT RULE: To divide when two bases are the same, write the base and SUBTRACT the exponents. Examples: A. B. 3 C. 3. ZERO EXPONENT RULE: Any base (except 0) raised to the zero power is equal to one. Examples: A. 1 B. 6 1 C. 7 ! 1 4. POWER RULE: To raise a power to another power, write the base and MULTIPLY the exponents. · Examples: A. B. 3 3 C. " " 5. EXPANDED POWER RULE: # # $# % # Examples: A. 2 2 8 ' ( ) * C. $ % ) ) B. 6 6 36 D. $ % + , 6. NEGATIVE EXPONENTS: If a factor in the numerator or denominator is moved across the fraction bar, the sign of the exponent is changed. # - $# % $ % Examples: A. B. 4 C. /4 E. 3 /2 /6 D. $ % $ % , 0 - 1 1 2 ) 3 ) * F. 2 -) 3 -4 0 G. /2 $ ) % $ % ) CAUTION: / 5 For example: /3 5 REMEMBER: An exponent applies to only the factor it is directly next to unless parentheses enclose other factors. Examples: A. /3 /3/3 9 B. /3 /9 EXPONENTS PRACTICE Simplify: 1. 3 · 4 15. , 27. -4 -* 2. 4 · 2 , 16. 28. 3. · ) -7 4. 2 · 2 29. : : : 17. $ % ) -) 30. 5. -> 18. $ % , ) 31. 6. -* 7 19. + - 7. 8 32. 20. 7 , 8. /9 33. 2 21. - 9. ) -) 34. 22. 7 10. -) 7 23. · 35. 4 11. ) 24. 36. 5 2 12. +0 1 2 @ 25. < · + 37. $ 0 1)2 % 13. 289 89 26. = = = 0 1 2 @ 14. 2:; :; 38. $ 0 12 7 % EXPONENTS PRACTICE ANSWERS 1. 192 16. 29. B) 2. 8 4 17. > 30. 3. * 31. 2 18. 4. 4 4, 32. ), 5. 36 19. 7 , 33. 6. 20. , < 7. 1 21. 34. 7 8. /1 22. 16 4 35. 4 9. 23. , 10. 36. 24. , 11. 3 37. 0) 1 ) 2 4 25. 12. 2
