2:

=>27:3^x=2*25-16-31=50-47=3

=>3^x=27/3=9

=>3^x=3^2

=>x=2

1:

b: \(=16\cdot55+16\cdot45-1\)

=16(55+45)-1

=1600-1

=1599

c: \(=\dfrac{1800}{49-\left[2\cdot\left(36-34\right)^3-5\right]}\)

\(=\dfrac{1800}{49-2\cdot2^3+5}=\dfrac{1800}{49-16+5}=\dfrac{1800}{38}\)=900/19

d: \(=\dfrac{5\cdot3^{11}\cdot2^{11}-3^{11}\cdot2^{11}}{2^{10}\cdot3^{10}\cdot2^2\cdot3+7\cdot2^{12}\cdot3^{12}}\)

\(=\dfrac{3^{11}\cdot2^{11}\left(5-1\right)}{2^{12}\cdot3^{11}\left(1+7\cdot3\right)}=\dfrac{1}{2}\cdot\dfrac{4}{1+21}=\dfrac{4}{22\cdot2}=\dfrac{1}{11}\)

1, Tìm x thuộc Z:

a) x²=100

=> x^2 = 10^2

=> x = 10

Vậy x = 10

b) ( x-5)²-7=9

 =>  ( x - 5 )^2 = 9 + 7 

=>   ( x - 5 )^2 = 16

=>   ( x - 5 )^2 = 4 ^ 2

=>    x - 5 = 4 

=> x = 5 + 4 

=> x = 9

kick nhé

a) \(x^2=100\)

\(=>x^2=10^2\)

\(=>x=10\)

b) \(\left(x-5\right)^2-7=9\)

\(=>\left(x-5\right)^2=9+7\)

\(=>\left(x-5\right)^2=16\)

\(=>\left(x-5\right)^2=4^2\)

\(=>x-5=4\)

\(=>x=4+5\)

\(=>x=9\)

2:

a: =>2(x+1)=26

=>x+1=13

=>x=12

b: =>(6x)^3=125

=>6x=5

=>x=5/6(loại)

c: =>\(7\cdot3^x\cdot\dfrac{1}{3}+11\cdot3^x\cdot3=318\)

=>3^x=9

=>x=2

d: -2x+13 chia hết cho x+1

=>-2x-2+15 chia hết cho x+1

=>15 chia hết cho x+1

=>x+1 thuộc {1;3;5;15}

=>x thuộc {0;2;4;14}

e: 4x+11 chia hết cho 3x+2

=>12x+33 chia hết cho 3x+2

=>12x+8+25 chia hết cho 3x+2

=>25 chia hết cho 3x+2

=>3x+2 thuộc {1;-1;5;-5;25;-25}

mà x là số tự nhiên

nên x=1

1: 

a: Đặt A=2^2024-2^2023-...-2^2-2-1

Đặt B=2^2023+2^2022+...+2^2+2+1

=>2B=2^2024+2^2023+...+2^3+2^2+2

=>B=2^2024-1

=>A=2^2024-2^2024+1=1

c: \(=\dfrac{3^{12}\cdot2^{11}+2^{10}\cdot3^{12}\cdot5}{2^2\cdot3\cdot3^{11}\cdot2^{11}}=\dfrac{2^{10}\cdot3^{12}\left(2+5\right)}{2^{13}\cdot3^{12}}\)

\(=\dfrac{7}{2^3}=\dfrac{7}{8}\)

`a, = 53 xx (12+172 -84)`

`= 53 xx 100`

`=5300`

`b,= 2018 xx (91-45-46)`

`= 2018 xx 0`

`=0`

1

a)103/35

b)-3/13

1, Thực hiện phép tính :

a) \(\left(-37\right)+4\cdot\left|-6\right|\)

\(=-\left(37\right)+4\cdot6\)

\(=-37+24\)

\(=13\)

b) \(17\cdot85+15\cdot17-120\)

\(=17\cdot\left(85+15\right)-120\)

\(=17\cdot100-120\)

\(=1700-120\)

\(=1580\)

2, Tìm x :

a) \(x-12=-20\)

\(x=-20+12\)

\(x=8\)

b) \(2014\cdot\left(x-12\right)=0\)

\(\Rightarrow\text{ }x-12=0\)

\(x=0+12\)

\(x=12\)