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b) 1449 - {[(216 + 184) : 8] . 9}
= 1449 - {[400 : 8] : 9}
= 1449 - {50 : 9}
= 1449 - \(\frac{50}{9}\)
= \(\frac{12991}{9}\)
c) 342 . 163 + 337 . 342 - 103 . 171
= 342 . (163 + 337) - 1000 . 171
= 342 . 500 - 500 . 2 . 171
= 500 . (342 - 2 - 171)
= 500 . 169
= 84500
a) (18+12.3):9-5
=(18+36):9-5
=54:9-5
=6-5
=1
b) 368+42:7-(23+3)
= 368+42:7-(8+3)
= 368+42:7-11
= 368+6-11
=374-11
=363
c) 324 :322+3.4+3560
=324-22+12+1
=32+12+1
=9+12+1
=21+2
=22
d) 210:25-75:25+3.3
=210-5-3+9
=25-3+9
=32-3+9
=29+9
=38
e) 1449-[(216+184):23].32
=1449-(400:8).9
=1449-50.9
=1449-450
=999
f) 600-400:[118.2-2(50.3-9.16)2]
=600-400:[118.2-2(150-144)2]
=600-400:(118.2-2.62)
=600-400:(118.2-2.36)
=600-400:(236-72)
=600-400:164
=600-100/41
=24500/41 (đề sai)
g) 2001.27+2001.63+2001.10
=2001.(27+63+10)
=2001.100
=200100
h) 64.54+47.64-64
=64.(54+47-1)
=64.100
=6400
i) (-17)+15+68+17+(-15)
=(-17+17)+(-15+15)+68
=0+0+68
=68
j) (-17)+|-5|+|10|+(-11)
= (-17)+5+10+(-11)
=-12+10+(-11)
=-2+(-11)
=-13
k) -75+(-9)+4
=-84+4
=-80
l) -100+(-15+10)+|(-48)+(-22)|
=-100+(-5)+|-70|
=-100+(-5)+70
=-105+70
=-35
a) (18+12.3):9-5
=(18+36):9-5
=54:9-5
=6-5
=1
b) 368+42:7-(23+3)
= 368+42:7-(26)
=368+6-64
=374-64
=310
c) 324 :322+3.4+3560
=32+12+1
=9+12+1
=21+1
=22
d) 210:25-75:25+3.3
=25-3+9
=32-3+9
=29+9
=38
e) 1449-[(216+184):23].32
= 1449-[400:8].9
=1449-50.9
=1449-450
=999
f) 600-400:[118.2-2(50.3-9.16)2]
=600-400:[118.2-2.(150-9.16)2]
=600-400:[118.2-2.(150-144)2]
=600-400:[118.2-2.62]
=600-400:[118.2-2.36]
=600-400:[236-72]
=600-400:164
=Đề sai nha bạn
g) 2001.27+2001.63+20010
=2001.(27+63)+20010
=2001.100+20010
=200100+20010
=220110
h) 64.54+47.64-64
=64.(54+47-1)
=64.(101-1)
=64.100
=6400
i) (-17)+115+68+17+(-15)
=98+68+17+(-15)
=166+17+(-15)
=183+(-15)
=168
j) (-17)+|-5-|+|10|+(-11)
=(-17)+5+10+(-11)
=(-12)+5+10+(-11)
=-7+10+(-11)
=3+(-11)
=-8
k) -75+|(-9)+4|
=-75+|-5|
=-75+5
=-70
l) -100+(-15+10)+|(-48)+(-22)|
= -100+(-15+10)+|-70|
= -100+(-15+10)+70
=-100+(-5)+70
=-105+70
=-35
1449-[216-184:8).9]
=1449-[216-23).9]
=1449-(193.9)
=1449-1737
=-288
24 : { 300 : [ 375 ( 150 + 15 . 5 ) ] }
24 : { 300 : [ 375 ( 150 + 75 ) ] }
24 : [ 300 : ( 375 . 225 ) ]
24 : ( 300 : 84375 )
24 : 4/1125
= 6750
1) \(2^{x+1}\cdot2^{2014}=2^{2015}\)\(\Leftrightarrow2^{2014x+2014}=2^{2015}\)\(\Leftrightarrow2014x+2014=2015\)\(\Leftrightarrow x=\frac{1}{2014}\)
2) \(7x-2x=\frac{6^{17}}{6^{15}}+\frac{44}{11}\)\(\Leftrightarrow5x=6^2+4=36+4=40\)\(\Leftrightarrow x=\frac{40}{5}=8\)
3) \(3^x=9\)\(\Leftrightarrow3^x=3^2\)\(\Leftrightarrow x=2\)
4) \(7x-x=\frac{5^{21}}{5^{19}}+3\cdot2^2-7^0\)\(\Leftrightarrow6x=5^2+3\cdot4-1=25+12-1=36\)\(\Leftrightarrow x=6\)
5) \(4^x=64\)\(\Leftrightarrow4^x=4^3\)\(\Leftrightarrow x=3\)
6) \(9^{x-1}=9\)\(\Leftrightarrow x-1=1\)\(\Leftrightarrow x=0\)
7) \(\frac{2^x}{2^5}=1\)\(\Leftrightarrow2^{x-5}=2^0\)\(\Leftrightarrow x-5=0\)\(\Leftrightarrow x=5\)
8) \(\left(5x-9\right)^3=216\)\(\Leftrightarrow\left(5x-9\right)^3=6^3\)\(\Leftrightarrow5x-9=6\)\(\Leftrightarrow5x=15\)\(\Leftrightarrow x=3\)
9) \(5\cdot3^{7x-11}=135\)\(\Leftrightarrow5.3^{7x-11}=5.3^3\)\(\Leftrightarrow3^{7x-11}=3^3\)\(\Leftrightarrow7x-11=3\)\(\Leftrightarrow7x=14\Leftrightarrow x=2\)
10) \(2.3^x=19\cdot3^8-81^2\)\(\Leftrightarrow2.3^x=19\cdot3^8-3^8=18.3^8=2.3^{11}\)\(\Leftrightarrow3^x=3^{11}\Leftrightarrow x=11\)
Đây là cách làm của mình. Bạn có thể chỉnh sửa tuỳ ý theo cách làm của bạn nhé ^^
Học tốt ^3^
\(1449+\left\{\left[\left(6^3+184\right):2^3\right].9^2\right\}\)
\(\Rightarrow1449+\left\{\left[\left(216+184\right):8\right].81\right\}\)
\(=1449+\left\{\left[400:8\right].81\right\}\)
\(=1449+\left\{50.81\right\}\)
\(=1449+4050=5499\)
Vậy biểu thức trên = 5499
\(585-\left\{\left[\left(156+93\right):3\right]-3\right\}\)
\(=585-\left\{\left[249:3\right]-3\right\}\)
\(=585-\left\{83-3\right\}\)
\(585-80=505\)
Vậy biểu thức trên = 505
a,71.2-6.(2x+5)=10^5:10^3
142-6.(2x+5)=10^2
142-6.(2x+5)=100
6.(2x+5)=142-100
6.(2x+5)=42
2x+5=42:6
2x+5=7
2x=7-5
2x=2
x=1
Vậy x=1
210:25+32.22-43
=25+9.4-64
=32+36-64
=68-64
=4