Exponents and Polynomials - XYZ Custom Plus

760Chapter 12 Exponents and PolynomialsBUse the product property for exponents to simplify each expression. Leave all answers in terms of exponents.[Example 5]19. x 4 ⋅ x 5x 9 20. x 7 ⋅ x 3x 10 21. y 10 ⋅ y 2022. y 30 ⋅ y 30y 30 y 6023. 2 5 ⋅ 2 4 ⋅ 2 32 12 4 9 x 28 x 6824. 4 2 ⋅ 4 3 ⋅ 4 425. x 4 ⋅ x 6 ⋅ x 8 ⋅ x 1026. x 20 ⋅ x 18 ⋅ x 16 ⋅ x 14Cvariables are positive numbers.) [Example 6]Use the power property for exponents to write each of the following problems with a single exponent. (Assume all27. (x 2 ) 531. (y 3 ) 335. (a 3 ) xx 10 28. (x 5 ) 2y 9 32. (y 2 ) 2a 3x36. (a 5 ) xx 10 29. (5 4 ) 3y 4 33. (2 5 ) 10a 5x37. (b x ) y30. (5 3 ) 45 12 5 1234. (10 5 ) 22 50 10 10b xy38. (b r ) sD Use the distributive property for exponents to simplify each of the following expressions. [Examples 7–13]39. (4x) 216x 2 40. (2x) 444. (−3x) 316x 4 41. (2y) 5−27x 3 45. (0.5ab) 20.25a 2 b 2 46. (0.4ab) 232y 5 42. (5y) 20.16a 2 b 2 47. (4xyz) 3Simplify the following expressions by using the properties of exponents.49. (2x 4 ) 38x 12 50. (3x 5 ) 253. (x 2 ) 3 (x 4 ) 2x 14 54. (x 5 ) 2 (x 3 ) 557. (2x) 3 (2x) 4128x 7 58. (3x) 2 (3x) 361. (4x 2 y 3 ) 262. (9x 3 y 5 ) 216x 4 y 6 81x 6 y 10Write each expression as a perfect square.9x 10 51. (4a 3 ) 2x 25 55. (a 3 ) 1 (a 2 ) 4​b​ rs ​25y 2 43. (−3x) 481x 464x 3 y 3 z 3 48. (5xyz) 352. (5a 2 ) 216a 6 25a 456. (a 4 ) 1 (a 1 ) 3a 11 a 7243x 5 432x 10 108x 959. (3x 2 ) 3 (2x) 460. (3x) 3 (2x 3 ) 263. ​ ​_2 33 ​a 4 b 5 ​​64. ​ ​_3​_ 827 ​a 12 b 1534 ​ab 7 ​​​_ 2764 ​a 3 b 21125x 3 y 3 z 365. x 4 = (​x ​ 2 ​) 2 66. x 6 = (​x ​ 3 ​) 2 67. 16x 2 = (4x) 2 68. 256x 4 = (​16x ​ 2 ​) 2Write each expression as a perfect cube.69. 8 = (2) 3 70. 27 = (3) 3 71. 64x 3 = (4x) 3 72. 27x 6 = (​3x ​ 2 ​) 3NOT FOR SALE. Copyright XYZtextbooks Last re