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`#3107.101107`
a,
$2014^{15} . (2x - 60) = 2014^{16}$
$\Rightarrow 2x - 60 = 2014^{16} \div 2014^{15}$
$\Rightarrow 2x - 60 = 2014$
$\Rightarrow 2x = 2074$
$\Rightarrow x = 1037$
Vậy, `x = 1037`
b,
`x + 18 \div 3^2 = 5.4^2`
`\Rightarrow x + 18 \div 9 = 5.16`
`\Rightarrow x + 9 = 80`
`\Rightarrow x = 80 - 9`
`\Rightarrow x = 71`
Vậy, `x = 71`
c,
`7.(42 - x) = 5^3 + 134`
`\Rightarrow 7.(42 - x) = 125 + 134`
`\Rightarrow 7(42 - x) = 259`
`\Rightarrow 42 - x = 259 \div 7`
`\Rightarrow 42 - x = 37`
`\Rightarrow x = 42 - 37`
`\Rightarrow x = 5`
Vậy, `x = 5.`
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=36:4\cdot3+104+210-\dfrac{18}{32}=341-\dfrac{9}{16}=\dfrac{5447}{16}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(2.7.12+49.53=7.\left(24+7.53\right)=7.395=2765\)
b) \(5.4^2-36:3^2=5.16-36:9=80-4-76\)
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`@` `\text {Ans}`
`\downarrow`
`12 \div 6 + 2. 7`
`= 2 + 2.7`
`= 2.(1 + 7)`
`= 2.8`
`= 16`
`5. 4^2 - 36 \div 3^2`
`= 5. 16 - 36 \div 9`
`= 80 - 4`
`= 76`
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 2
a. 7.24.25
= 7.4.6.25
= (7.6).(25.4)
= 42.100
= 42000
b. 23.75 + 25.23 + 180
= 23.(75+25)+180
= 23.100+180
= 2300+180=2480
d. 32 : {160 : [300 - (175+21.5)]}
= 32:{160:[300-(175+105)]}
= 32:[160:(300-280)]
= 32:(160:20)
= 32:8
= 4
bạn ơi hình như câu c sai đề rồi
a. 7.24.25=7.(6.4).25=(7.6).(4.25)=42.100=4200.
b. 23.75+25.23+180=23.(75+25)+180=23.100+180=2300+180=2480.
c. 5.42-18:32( câu này sai đề hay sao ấy bạn ạ)
d. 32:{160:[300-(175+21.5)]}=32:{160:[300-(175+105)]}=32:{160:[300-280]}=32:{160:20}=32:8=4.
![](https://rs.olm.vn/images/avt/0.png?1311)
c) 3⁴ - 5.42
= 81 - 210
= -129
d) 120 : {54 - [50 : 2 - (3² - 2.4)]}
= 120 : {54 - [25 - (9 - 8)]}
= 120 : [54 - (25 - 1)]
= 120 : (54 - 24)
= 120 : 30
= 4
![](https://rs.olm.vn/images/avt/0.png?1311)
Giải:
Bài 1:
a) \(6^2\): 4 . 3 + 2 . \(5^2\)
= 36 : 4 . 3 + 2 . 25
= 27 + 50
= 77
77 = 7 . 11
b) 5 . \(4^2\) - 18 : \(3^2\)
= 5 . 16 - 18 : 9
= 80 - 2
= 78
78 = 2 .3 . 13
Bài 2:
a) Ta có: \(70⋮x\)
\(84⋮x\)
Do đó: \(x\inƯC\left(70;84\right)\)
\(\Leftrightarrow x\inƯ\left(14\right)\)
\(\Leftrightarrow x\in\left\{1;2;7;14\right\}\)
mà x>8
nên x=14
x + 18 : 32 =5.42
x + 18 : 9 = 80
x + 2 = 80
x = 80 - 2
x = 78
\(\text{vậy x bằng 78 đúng rồi đó}\)
\(x+18:3^2=5.4^2\)
\(\Rightarrow x+18:9=80\)
\(\Rightarrow x+2=80\)
\(\Rightarrow x=80-2=78\)
Vậy x = 78