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Giải
a) 569 : 567 – 340 : 339 = 52 – 31 = 25 – 3 = 22
b) 155 – [ 2 . ( 30 + 5 – 26 ) . ( 24 : 3 )]
= 155 – [ 2 . 9 . 8 ] = 155 – 144 = 11
c) 37 . 143 + 37 . 57 + 1300
= (37 . 143 + 37.57) + 1300
= 37.(143+ 57) + 1300
= 37. 200 + 1300
= 7400 + 1300
8700.
![](https://rs.olm.vn/images/avt/0.png?1311)
a, (19-51)-(x-23)=-6
19-51-x+23=-6
-32-x+23=-6
-32-x=-6-23
-32-x=-29
x=-32+(-29)
x=-61
-5x-10(-7)=55
-5x+70=55
-5x=55-70
-5x=-15
x=-15:(-5)
x=3
c, -7-2x=-37-(-26)
-7-2x=-37+26
-7-2x=11
-2x=11+7
-2x=18
x=-9
d, /2x-1/=/-5/
2x-1=5
2x=5+1
2x=6
x=6:2
x=3
e, 2-/x+5/=7
2-x+5=7
2-x=7-5
2-x=2
x=2-2
x=0
h, (x+8)2=25
(x+8)2=52
x+8=5
x=5-8
x=-3
f, (x+3)3:3-1=-10
(x+3)3:3=-10+1
(x+3)3:3=-9
(x+3)3:3=33
x+3:3=3
x+3=9
x=9-3
x=6
k mk nhe
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7: =6-7+4-3=0
8: =8x5-9x4+4x6=40-36+24=28
3: =231+26-209-26=22
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a) 2\(^3\).15 -[115-(12-5)\(^2\)]
= 8.15-[115-(7)\(^2\)]
= 120-[115-49]
= 120-66
= 54
c)4.5\(^2\)- 81:3\(^2\)+3\(^2\).22-3\(^3\).19
=4.25-81:9+9.22-27.19
=100-9+198-513
=91+198-513
=289-513
=(-224)
Câu b sai đề nhé bn
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\(=\frac{7.6^{11}.2^{19}.3^5-2^{19}.6^{15}}{3^{21}.2^{28}-3^{17}.2^{28}}=\frac{2^{19}.6^{11}.\left(7.3^5-6^4\right)}{3^{17}.2^{28}.\left(3^4-1\right)}=\frac{2^{30}.3^{11}.3^4.\left(7.3-2^4\right)}{3^{17}.2^{28}.\left(3^4-1\right)}=\frac{2^2.13}{3^2.80}=\frac{13}{9.20}=\frac{13}{180}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1: 74+(-93)+2014+(-7)+26
=(74+26)+[-93+(-7)]+2014
=100+(-100)+2014=2014
Bài 2:
15+2|x|=97
2|x|=97-15=82
|x|=82:2=41
Suy ra: x=41; x=-41
Bài 3:
Ta có: A=3+3^2+3^3+3^4+3^5+..+3^19+3^20+3^21
=(3+3^2+3^3)+(3^4+3^5+3^6)+...+(3^19+3^20+3^21)
=3.(1+3+3^2)+3^3.(1+3+3^2)+...+3^18.(1+3+3^2)
=3.13+3^3.13+...+3^18.13
=13.(1+3^3+..+3^18) (chia hết cho 13)
Vậy A chia hết cho 13
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a)3-\left(17-x\right)=-24+12\)
\(\Leftrightarrow3-17+x=-12\)
\(\Leftrightarrow-14+x=-12\)
\(\Leftrightarrow x=-12+14=2\)
a) 3 - (17 - x) = -24 + 12
=> 3 - 17 + x = -12
=> -14 + x = -12
=> x = -12 + 14
=> x = 2
b) -5 + (16 - x) = 22.3 - 52
=> -5 + 16 - x = 12 - 25
=> 11 - x = -13
=> x = 11 + 13
=> x = 24
c) -26 - (x - 7) = 34 - 92
=> -26 - x + 7 = 81 - 81
=> -19 - x = 0
=> x = -19 - 0
=> x = -19
d) -36 - (4 - x) = 37 + (-5)
=> -36 - 4 + x = 32
=> -40 + x = 32
=> x = 32 + 40
=> x = 72
`(87-37 ) : (-5) + ( 19-26 ) . (-3)^2`
`=50 :(-5) + (-7).9`
`= -10+ (-7).9`
`= -10+ (-63)`
`=-73`
(87 - 37) : ( -5) + ( 19-26).(-3)2
50 : (-5) + -7 . 9
= -10 - 63
= -( 10 + 63)
= -73