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a) 16 = 2⁴
42 = 2.3.7
ƯCLN(16; 42) = 2
ƯC(16; 42) = Ư(2) = {1; 2}
b) 16 = 2⁴
42 = 2.3.7
86 = 2.43
ƯCLN(16; 42; 86) = 2
ƯC(16; 42; 86) = Ư(2) = {1; 2}
c) 25 = 5²
75 = 3.5²
ƯCLN(25; 75) = 5² = 25
ƯC(25; 75) = Ư(25) = {1; 5; 25}
d) 25 = 5²
55 = 5.11
75 = 3.5²
ƯCLN(25; 55; 75) = 5
ƯC(25; 55; 75) = Ư(5) = {1; 5}
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\(A=1+2+3+4......+2^{2010}\)
\(B=2^{2011-1}\)
\(B=2^{2011-1}=2.2.2.2......2=2^{2010}\)
\(=>A=1+2+3.....+2^{2010}>B=2^{2010}\)
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a: \(\Leftrightarrow x\in\left\{1;-1;2;-2;3;-3;4;-4;6;-6;9;-9;12;-12;18;-18;36;-36\right\}\)
mà -3<x<30
nên \(x\in\left\{-2;-1;1;2;3;4;6;9;12;18\right\}\)
b: \(\Leftrightarrow x\in\left\{0;4;-4;8;-8;12;-12;...\right\}\)
mà -16<=x<20
nên \(x\in\left\{-16;-12;-8;-4;0;4;8;12;16\right\}\)
c: \(\Leftrightarrow x-1+4⋮x-1\)
\(\Leftrightarrow x-1\in\left\{1;-1;2;-2;4;-4\right\}\)
hay \(x\in\left\{2;0;3;-1;5;-3\right\}\)
d: \(\Leftrightarrow2x+4-5⋮x+2\)
\(\Leftrightarrow x+2\in\left\{1;-1;5;-5\right\}\)
hay \(x\in\left\{-1;-3;3;-7\right\}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 16 = 2⁴
42 = 2.3.7
ƯCLN(16; 42) = 2
ƯC(16; 42) = Ư(2) = {1; 2}
b) 16 = 2⁴
42 = 2.3.7
86 = 2.43
ƯCLN(16; 42; 86) = 2
ƯC(16; 42; 86) = Ư(2) = {1; 2}
c) 25 = 5²
75 = 3.5²
ƯCLN(25; 75) = 5² = 25
ƯC(25; 75) = Ư(25) = {1; 5; 25}
d) 25 = 5²
55 = 5.11
75 = 3.5²
ƯCLN(25; 55; 75) = 5
ƯC(25; 55; 75) = Ư(5) = {1; 5}
![](https://rs.olm.vn/images/avt/0.png?1311)
a, Rút gọn hai phân số, ta có:
\(\frac{-2}{10}=\frac{-1}{5};\frac{8}{-20}=\frac{-8}{20}=\frac{-2}{5}\)
Mà: \(\frac{-1}{5}>\frac{-2}{5}\)
\(\Rightarrow\frac{-2}{10}>\frac{8}{-20}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 2:
a) \(\left(x-34\right).15=30\)
\(\Rightarrow x-34=2\)
\(\Rightarrow x=36\)
Vậy \(x=36\)
b) \(18\left(x-16\right)=18\)
\(\Rightarrow x-16=1\)
\(\Rightarrow x=17\)
Vậy \(x=17\)
a) 86 + 357 + 14
= (86 + 14) + 357
= 100 + 357
= 457
b) 72 + 69 + 128
= (72 + 128) + 69
= 200 + 69
= 269
c) 25 . 5 . 4 . 27 . 2
= (25 . 4) . (2 . 5) . 27
= 100 . 10 . 27
= 1000 . 27
= 27000
d) 28 . 64 + 28 . 36
= 28 . (64 + 36)
= 28 . 100
= 2800
2. Tìm số tự nhiên x ,biết
a) ( x - 34 ) . 15 = 30
(x - 34) = 30 : 15
(x - 34) = 2
x = 2 + 34
x = 36.
b) 18 . ( x - 16 ) = 18
( x - 16 ) = 18 : 18
( x - 16 ) = 1
x = 1 + 16
x = 17.
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 86 + 357 + 14
= ( 86 + 14 ) + 357
= 100 + 357
= 457
b) 72 + 69 + 128
= ( 72 + 128 ) + 69
= 200 + 69
= 269
c) 25 . 5 . 4 . 27
= ( 25 . 4 ) . 5 . 27
= 100 . 5 . 27
= 500 . 27
= 13500
d) 28 . 64 + 28 . 36
= 28 . ( 64 + 36 )
= 28 . 100
= 2800
a)
\(86+357+14=\left(86+14\right)+357=100+357=457\)
b)
\(72+69+128=\left(72+128\right)+69=200+69=269\)
c)
\(25.5.4.27.2=\left(25.4\right).\left(5.2\right).27=100.10.27=27000\)
d)
\(28.64+28.36=28.\left(64+36\right)=28.100=2800\)