University:
High School
Course:
High School Functions
Academic year:

2024
Views:

290

Pages:

2
Author:

J. Anderson

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. C. " " B. 3 3 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. D. $ % F. 0 - 1 2 -) 3 -4 B. 4 $ % , 1 2 ) 3 0 C. /4 E. 3 /2 /6 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: B. /3 /9 A. /3 /3/3 9 EXPONENTS PRACTICE Simplify: 1. 3 · 4 15. 2. 4 · 2 3. · 4. 2 · 2 5. 6. 7 28. ) 17. $ ) % % 9. 20. 7 ) 13. 289 89 14. 2:; :; , -7 -) -> , 31. 32. 34. -) 23. · 7 -* -* - , 33. 2 21. - 22. 10. -4 29. : : : 30. 19. + 8. /9 12. 27. 18. $ ) 7. 8 11. 16. , ) -) 7 35. 4 24. 36. 5 2 25. < · + 37. $ 0 1)2 % 26. = = = +0 1 2 @ 0 1 2 @ 38. $ 0 12 7 % EXPONENTS PRACTICE ANSWERS 16. 1. 192 2. 8 17. 3. 4. 4 18. 20. 7. 1 * 31. 2 4, 32. 33. < 34. 22. 16 9. 35. 23. 10. 36. 24. , 11. 3 12. 2 14. 16: ; 15. 30. 21. 8. /1 13. 48 + 9 > 19. 7 5. 36 6. 29. B) 4 25. 37. 26. A 38. 27. + 28. 4 ), , , 7 4 4 , 0) 1 ) 2 4 <1 2 4) 0