\(5^{8^{2021}+23⋮24}\)
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 407 + 24 + (-407) + (-84)
= [407 + (-407)] + 24 + (-84)
= 0 + 24 + (-84)
= 24 + (-84)
= (-60)
b) (-42) x 23 + 77 x (-42) - 200
= (-42) x (23 + 77) - 200
= (-42) x 100 - 200
= (-4200) - 200
= (-4400)
c) (-2021) + (499 + 2021) + 41
= (-2021) + 499 + 2021 + 41
= [(-2021) + 2021] + 499 + 41
= 0 + 499 + 41
= 499 + 41
= 540
d) (-202) - (34 - 202) - 66 + 50
= (-202) - 34 + 202 - 66 + 50
= [(-202) + 202] - 34 - 66 + 50
= 0 - 34 - 66 + 50
= (-34) - 66 + 50
= (-100) + 50
= (-50)
e) Bạn viết lại đề bài.
![](https://rs.olm.vn/images/avt/0.png?1311)
a: (-17)+5+8+17
\(=\left(-17+17\right)+\left(5+8\right)\)
=0+13
=13
b: \(\left(-24\right)+6+10+24\)
\(=\left(-24+24\right)+\left(6+10\right)\)
=0+16
=16
c: \(\left(-24\right)+6+\left(-10\right)+24\)
\(=\left(-24+24\right)+\left(6-10\right)\)
=0+(-4)
=-4
d: \(\left(-456\right)+2021-544\)
\(=2021-\left(456+544\right)\)
=2021-1000
=1021
e: \(\left(-1075\right)-29-\left(-1075\right)\)
\(=-1075+1075-29\)
=0-29
=-29
f: \(\left(-135\right)+48+140-\left(-5\right)\)
\(=48+\left(-135+140+5\right)\)
=48+10
=58
g: \(329+64+\left(-394\right)+36\)
\(=\left(329-394\right)+\left(64+36\right)\)
=100-65
=35
h: \(\left(-427\right)+\left(-123\right)+23+27\)
\(=\left(-427+27\right)+\left(-123+23\right)\)
=-400-100
=-500
![](https://rs.olm.vn/images/avt/0.png?1311)
b, -418 - {- 418 - [ -418 - (-418) + 2021]}
= -481 - { -418 - [ 0 + 2021]}
= -481 + 418 + 2021
= 2021
d, 23 - 501 - 343 + 61 - 257 + 16 - 499
= (23 + 61 + 16) - (501 + 499) - (343 + 257)
= 100 - 1000 - 600
= 100 - 1600
= -1500
e, 743 - 231 + (-495) - (-69) - 38 + (-117)
= 512 - 426 - 155
= 86 - 155
= - 69
![](https://rs.olm.vn/images/avt/0.png?1311)
\(G=\dfrac{7}{8}+\dfrac{11}{24}+\dfrac{5}{8}+\dfrac{23}{24}+\dfrac{11}{8}+\dfrac{13}{24}\\ \Rightarrow G=\left(\dfrac{7}{8}+\dfrac{5}{8}+\dfrac{11}{8}\right)+\left(\dfrac{11}{24}+\dfrac{23}{24}+\dfrac{13}{24}\right)\\ \Rightarrow G=\dfrac{23}{8}+\dfrac{47}{24}\\ \Rightarrow G=\dfrac{69}{24}+\dfrac{47}{24}\\ \Rightarrow G=\dfrac{116}{24}\\ \Rightarrow G=\dfrac{29}{6}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1−2−3+4+5−6−7+8+...+21−22−23+24+25
= (1 - 2 - 3 + 4) + (5 - 6 - 7 + 8) + ... + (21 - 22 - 23 + 24) + 25=(1−2−3+4)+(5−6−7+8)+...+(21−22−23+24)+25
= 0 + 0 + ... + 0 + 25=0+0+...+0+25
= 25
![](https://rs.olm.vn/images/avt/0.png?1311)
a: x=-5/11+2/11=-3/11
b: =>x=-3/24+20/24+1/24=18/24=3/4
c: =>5/8-x=1/9+5/4=4/36+45/36=49/36
=>x=5/8-49/36=-53/72
d: =>2/3-x=1/3
=>x=1/3
e: =>1/5:x=12/35
=>x=7/12
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{8}{5}+\dfrac{7}{6}+\dfrac{5}{9}-2=\dfrac{144}{90}+\dfrac{105}{90}+\dfrac{50}{90}-\dfrac{180}{90}=\dfrac{119}{90}\)
\(3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{32}{24}=3-\dfrac{5}{6}-\dfrac{4}{9}+\dfrac{4}{3}=\dfrac{54}{18}-\dfrac{15}{18}-\dfrac{8}{18}+\dfrac{24}{18}=\dfrac{55}{18}\)
8/5+7/6+5/9-2=83/30+5/9-2
=299/90-2
=119/90
3-5/6-4/9+32/24=13/6-4/9+32/24
=13/18+32/24
=55/18
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