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`a, = 5^3 xx 3^3 = 15^3`
`b, = 12^3 xx 4^3 = 48^3`
`c, = 625^3 xx 8^3 = 5000^3`
`d, = 625 ^3 xx 125^3 = 78125^3`
`e, = 5^20 : 5^14 = 5^6`
1,\(125\cdot27=5^3\cdot3^3=\left(5\cdot3\right)^3=15^3\)
2, \(12^3\cdot64=12^3\cdot4^3=\left(12\cdot4\right)^3=48^3\)
3, \(25^6\cdot8^3=\left(5^2\right)^6\cdot\left(2^3\right)^3=5^8\cdot2^9\)
4, \(25^6\cdot125^3=\left(5^2\right)^3\cdot\left(5^3\right)^3=5^6\cdot5^9=5^{15}\)
5,\(625^5:25^7=\left(5^4\right)^5:\left(5^2\right)^7=5^{20}:5^{14}=5^6\)
a) 320 x 63 - 16 x 20 + 32 x 370
= 320 x 63 - 320 x + 320 x 37
= 320 x ( 63 - 1 + 37 )
= 320 x 99
= 320 x ( 100 - 1 )
= 320 x 100 - 320
= 32000 - 320 = 31 680
b) 35 x 61 + 215 x 5 + 35 x 39 + 57 x 25
= 5 x 427 + 5 x 215 + 5 x 273 + 5 x 285
= 5 x ( 427 + 215 + 273 + 285 )
= 5 x 1200 = 6000
c) 34 x 24 - 94 x 6 + 83 x 48 - 47 x 88
= 204 x 4 - 4 x 141 + 996 x 4 - 1034 x 4
= 4 x ( 204 - 141 + 996 - 1034 )
= 4 x 25 = 100
Bài 1: Tính
a) (−14) + (− 28) = -42 b) ( −26) + 47= 21 c) 35 + (− 63) = -28
d) ( −8) +12 +( −24)= -20 e) ( −26)−27= -53 f) ( −35)− ( −105)=70
Bài 2: Tính hợp lý
a) 54 +(12+ 46)= 112 b) 157− (200+57) =-100
c) (− 34) [(− 34)+2020]=(-34)+1986=1952
d) 45− (137− 155)=63 e) 27− 8− 12− 7 =0
f) ( −72)+26 −28− 6 =-80
a) 2.(-25).(-4).50 = 10000
b) 16.50.(-25).(-250) = 5000000
c)
− 167 . − 83 + 167.17 − 33 = 167.83 + 167.17 − 33 = 167. 83 + 17 − 33 = 167.100 − 33 = 1667
d)
135 − 35 .47 − 53. − 48 − 52 = 100.47 − 53. − 100 = 100.47 + 53.100 = 100. 47 + 53 = 100.100 = 10000
a) 2. − 25 . − 4 .50 = 10000
b) 16.50. − 25 . − 250 = 5000000
c)
− 167 . − 83 + 167.17 − 33 = 167.83 + 167.17 − 33 = 167. 83 + 17 − 33 = 167.100 − 33 = 1667
d)
135 − 35 .47 − 53. − 48 − 52 = 100.47 − 53. − 100 = 100.47 + 53.100 = 100. 47 + 53 = 100.100 = 10000
a) (135 - 35) . (-37) + 37 . (-42 - 58)
= 100 . 0 . (-100)
= 0
b) -65 . (87 - 17) - 87 . (17 - 65)
= -65 . 70 - 87 . (-48)
= -4550 - 135
= -4415