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1.5 Properties of Exponents am a n am n Product of Powers: Power of a Power: a Power of a Product: Negative Exponent: m n mn a ab m a n Zero Exponent: Quotient of Powers: a0 1, a 0 am a a b m m n a Power of a Quotient: b am n m 1. 3b 5b 2 9. 2b5c 3 6 4 2 2. 2f g 5. g3h g4h3 3 , b0 an 4 b m 1 Simplify: 7 am 3. 6. s5c 5 0 10. 2x 4 y6 7. 2 12 x 3 y 1 3x 2 x3 y 4 6 x 1 4 y 11. 3a2 4a6 4. 8. 3b c d 2 6b d 2ef 8g2 e2fg6 2 0 1 2 12. 4x3 y5 2 13. 17. 6x7 y5 3 x 1 xy 2 6x 2 y 21. 23 25 25. x 3 5 29. 3x0y4 14. 18. 2r 1 2 0 2 s t 2rs 2 26. 30. 19. 2x 1y2 a3bc 2 y10 2x 3 43 41 2 20x14 xy 6 23. x4 x2 27. 3x2 31. 3 2ab5c 2 1 1 22. 2 2 st 15. s2t x 3 y xy 2 2 16. h4k 5 3 0 20. 2x 5 y 4 3 24. 43 2 28. 4x 1y 32. 6x y 2 x 2 5y x3 33. 12xy 7x 4 3 21x5 y2 4y 2 3 37. 3 3 2 41. 2xy 3 2 45. 2x 2y0 35. 32 31 34. 3y2 y2 2 38. xy 9 3y 2 42. x2y2 46. x3 x 1 7y 21x5 1 39. 62 2 43. xy 2x 47. 2x 2 y 7 6xy 1 4 36. x3 y 40. y 4 44. 48. 3 5x 2 2y3 10 3x x 3x5 x13 2x10 y 15 y 2