HomeworkSection6.3:p520/9-66multiplesof3
9. x 5 = x 4 ⋅ x = x 4 ⋅ x = x 2 x 15.− 4 x 8 y13 = − 4 x 8 y12 ⋅ y = − 4 x 8 y12 ⋅ 4 y
= −x 2 y 3 4 y
21. 5 18 = 5 9 ⋅ 2 = 5 9 ⋅ 2 = 5 ⋅ 3 2 = 15 2 27. 3 40x
7 = 3 8 ⋅ 5 ⋅ x 6 ⋅ x = 3 8x 6 ⋅ 3 5x 2 3
= 2x 5x
33.
12. 3 r17 = 3 r15 ⋅ r 2 = 3 r15 ⋅ 3 r 2 = r 5 3 r 2 18. 63 = 9 ⋅ 7 = 9 ⋅ 7 = 3 7 24. 3 250 = 3 125 ⋅ 2 = 3 125 ⋅ 3 2 = 5 3 2 30. 3 −192a 6bc 2 = 3 −64a 6 ⋅ 3bc 2
= 3 −64a 6 ⋅ 3 3bc 2 = −4a 2 3 3bc 2
q11
= q6 = q3 q5
x3
= x2 = x x
36.
3
=
24
42.
48. −8 8 = −8 4 ⋅ 2 = −8 4 ⋅ 2
39. 3
3
1 1
= 8 2
45. 80 = 16 ⋅ 5 = 16 ⋅ 5 = 4 5 51.3 27x
2 y 3z 4 = 3 27y 3z 3 ⋅ x 2 z 57. 3
= −8 ⋅ 2 2 = −16 2
64x 9
= 16x 6 = 4x 3 4x 3
54.
60. 7 5 u12 v 20 w 65 x 80 = 7 4 u12 v 20 w 64 x 80 ⋅ 7w
= 3 27y 3 z 3 ⋅ 3 x 2 z = 3yz 3 x 2 z
16a 2 b 3 8 2
=
= 2a 2 b 4
b3 b
7 18 7 9 ⋅ 2 7 9 ⋅ 2
=
=
9
9
9
7⋅3 2 7 2
=
=
9
3
= 7 4 u12 v 20 w 64 x 80 ⋅ 7w
= 7 2 u 6 v10 w 32 x 40 7w
= 49u 6 v10 w 32 x 40 7w
63. −5a 12a
3b 4 c = −5a 4 ⋅3⋅ a 2 ⋅ a ⋅b
4 ⋅c
66. 4 10cd 7 = 4 d 4 ⋅10cd 3 4
4
= −5a ⋅ 2ab 2 3ac
= d 4 ⋅ 10cd 3
= −10a 2b 2 3ac
= d 10cd 3
4