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a.
\(A=5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9=5.2^{30}.3^{18}-2^2.3^{20}.2^{27}\)
\(=5.2^{30}.3^{18}-3^{20}.2^{29}=2^{29}.3^{18}.\left(5.2-3^2\right)=2^{29}.3^{18}\)
\(B=5.2^9.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6=5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}=5.2^{28}.3^{19}-7.2^{29}.3^{18}\)
\(=2^{28}.3^{18}.\left(5.3-7.2\right)=2^{28}.3^{18}\)
=> \(A:B=\left(2^{29}.3^{18}\right):\left(2^{28}.3^{18}\right)=\frac{\left(2^{29}.3^{18}\right)}{\left(2^{28}.3^{18}\right)}=2\)
b. kiểm tra lại đề bài nhé
a,126-(-4)+7-(-20)=130+27=157
b,-25.27+27.(-75)=[-25+(-75)].27=-100.27=-2700
c,4.5^2-3.(-2)^3+4.(27-4)=bó tay!!!! xin lỗi
d,39.(29-13)-29.(39-13)=(39-39).(29-29).(13-13)=0.0.0=0
a, 126- (-4) + 7 - /-20/
=126 +4 +7 -20
= 130 +7 -20
= 137 -20
= 117
b. -25 . 27+27.(-75)
= [(-25)+(-75)] .27
= -100 .27
= -2700
c. 4. 52 -3.(-2)3 +4.(24-7)
= 4.25-3.(-8)+4.17
= 100 - (-24)+68
= 124 +68
= 192
d.39.(29-13)-29.(39-13)
=39.29-39.13-29.39+29.13
=(39.29-29.39)+(39.13-29.13)
= 0 +[(39-29).13]
= [ 10.13 ]
= 130
chúc bạn học tốt nhé .
Hay là mk có một cách như thế này
Theo đề bài , vì A : B nên \(\frac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}=\frac{5\cdot2^{30}\cdot3^{18}-2^2\cdot2^{27}\cdot3^{20}}{5\cdot2^9\cdot2^{19}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}=\frac{2^{29}\cdot3^{18}(2\cdot5-3^2)}{2^{28}\cdot3^{18}(5\cdot3-7\cdot2)}=\frac{2^{29}\cdot3^{18}}{2^{28}\cdot3^{18}}=2\)
Chúc bạn học tốt :>
\(A=5\times4^{15}\times9^9-4\times3^{20}\times8^9\)
\(B=5\times2^9\times6^{19}-7\times2^{29}\times27^6\)
Giải:
Ta có : \(A:B\Rightarrow\frac{A}{B}=\frac{5\times4^{15}\times9^9-4\times3^{20}\times8^9}{5\times2^9\times6^{19}-7\times2^{29}\times27^6}\)
Từ đó bạn rút gọn ra:
P/S: rút gon chéo
a) 5 + ( -12 ) - 10
= -7 - 10
= -17
b) 25 - ( -17 ) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= 66 - 12
= 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 56 - 4 + 23 + 2 - 32 . 52 : 152
= 52 + 25 - 152 : 152
= 25 + 32 - 1
= 57 - 1
= 56
d) ( -5 - 3 ) . ( 3 - 5 ) : ( -3 + 5 )
= ( -8 ) . ( -2 ) : 2
= -8 . [ ( -2 ) : 2 ]
= -8 . ( -1 )
= 8
a) 5 + ( -12) - 10
= 5 - 12 -10
= -17
b) 25 - ( -17) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= ( 42 - 12) + 24
= 30 + 24 = 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 52 + 25 - 1
= 25 + 32 - 1
= 56
d) ( - 5 - 3) . ( 3 - 5) : ( -3 + 5)
= ( -8) . ( -2) : 2
= 16 : 2
= 8
a) 23.15 - [115 - (12-5)2]
= 8.15 - [115 - 72]
= 120 - [115 - 49]
= 120 - 66
= 54
b) 30 : {175 : [355 - (135+37.5)]}
= 30 : {175 : [355 - (135 + 185)]}
= 30 : {175 : [355 - 320]}
= 30 : {175 : 35}
= 30 : 5
= 6
c) 12 : {390 : [500 - (125+35.7)]}
= 12 : {390 : [500 - (125+245)]}
= 12 : {390 : [500 - 370]}
= 12 : {390 : 130}
= 12 : 3
= 4
5.(-8).2.(-3)
=5.2.-8.-3
=10.-8.-3
=-80.-3
=240
còn đâu bn tự nghĩ đi nhé
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)=\left(-15\right).100=-1500\)
b) \(\left(-43\right).92-46.27+46.41=\left(-86\right).46-46.27+46.41\)
\(=46\left[\left(-86\right)-27+41\right]=46.\left(-72\right)=-3312\)
c) \(\left(-72\right)\left(15-49\right)+15\left(-56+72\right)=\left(-72\right).15-72.49+15.\left(-56\right)+15.72\)
\(=\left[\left(-72\right).15+15.72\right]-72.49-15.56=0-3528-840=4368\)
d) \(\left(-2^4\right).17.\left(-3\right)^0.\left(-5\right)^6\left(-1^{2n}\right)=16.17.1.12625.\left(-1^{2n}\right)\)
a,\(53.\left(-15\right)+\left(-15\right).47\)
\(=-15.\left(53+47\right)=-15.100=-1500\)
\(b,-43.92-46.27+46.41\)
\(=-43.92-\left[46.\left(27-41\right)\right]=-43.92-\left[46.\left(-14\right)\right]\)
\(=-3956+644=-3312\)
\(c,-72\left(15-49\right)+15\left(-56+72\right)\)
\(=-15.72+49.72+15.\left(-56\right)+15.72\)
\(=72.\left(-15+49+15\right)-15.56=3528-840=2688\)
a) 5.(-8).(-2).(-3)
=5.[(-8).(-2).(-3)]
=5.(-48)
=-240
b) 4.(–5)2 + 2.(–5) – 20
= 4.(-5)2 + 2.(-5) - (-4)(-5)
= (-5).[4.(-5) + 2 - (-4)]
= (-5).[-20 + 2 + 4]
=(-5).(-14)
=70
c) 27.(15 –12) – 15.(27 –12)
= 27.15 - 27.12 - 15.27 + 15.12
= (27.15 - 15.27) + (15.12 - 27.12)
= 0 + 15.12 - 27.12
= 12(15-27)
= 12.(-12)
= -144
d) - 126 – (42 – 5)2 + 870 : 29
= -126 - (16 - 5)2 + 30
= -126 - 112 + 30
= -126 - 121 + 30
= - 247 + 30
= -217
Chúc bạn học tốt!
\(a.5.\left(-8\right).\left(-2\right).\left(-3\right)\)
\(=\left[5.\left(-2\right)\right].\left[\left(-8\right).\left(-3\right)\right]\)
\(=-10.24\)
\(=-240\)
\(b.4.\left(-5\right)^2+2.\left(-5\right)-20\)
\(=4.\left(-5\right).\left(-5\right)+2.\left(-5\right)-20\)
\(=\left(-5\right).\left(-20\right)+2.\left(-5\right)-20\)
\(=\left(-20\right).\left[\left(-5\right)+1\right]+2.\left(-5\right)\)
\(=\left(-20\right).\left(-4\right)+2.\left(-5\right)\)
\(=80+\left(-10\right)\)
\(=70\)
\(c.27.\left(15-12\right)-15.\left(27-12\right)\)
\(=27.15-27.12-15.27+15.12\)
\(=\left(27.15-15.27\right)+\left(15.12-27.12\right)\)
\(=0+12.\left(15-27\right)\)
\(=0+12.\left(-12\right)\)
\(=-144\)
\(d.-126-\left(4^2-5\right)^2+870:29\)
\(=-126-\left(16-5\right)^2+30\)
\(=-126-11^2+30\)
\(=-126-121+30\)
\(=-217\)
a) 5 . (-8) . (-2) . (-3)
= [5 . (-2)] . [(-8) . (-3)]
= -10 . 24
= -240
b) 4 . (-5)2 + 2 . (-5) - 20
= 4 . (-5) . (-5) + 2 . (-5) - 20
= - 5 . (-20) + 2 . (-5) - 20
= 100 + (-10) - 20
= 90 - 20
= 70
c) 27 . (15 - 12) - 15 . (27 - 12)
= 27 . 15 - 27 . 12 - 15 . 27 - 15 . 12
= (27 . 15 - 15 . 27) - (15 . 12 - 27 . 12)
= 0 + 12 . (15 - 27)
= 12 . (-12)
= -144
d) -126 - (42 - 5)2 + 870 : 29
= -126 - (16 - 5)2 + 30
= -126 - 112 + 30
= -126 - 121 + 30
= -247 + 30
= -217