a) \(B\left(16\right)=\left\{0;16;32;48;64;80;96\right\}\)

b) \(U\left(135\right)=\left\{1;3;5;9;15;27;45\right\}\)

c) \(B\left(17\right)=\left\{0;17;34;51;68;85\right\}\)

d) \(U\left(75\right)=\left\{1;3;5;15;25;75\right\}\)

e) \(B\left(33\right)=\left\{0;33;66\right\}\)

f) \(U\left(42\right)=\left\{1;2;3;6;7;14;21;42\right\}\)

Đề bài là gì vậy bạn>

\(a\times100\) + 50 + \(c\) = \(\overline{a5c}\)

\(a\times100\) +  \(b\times10\) + 6 = \(\overline{ab6}\)

\(745-x=304\)

          \(x=745-304\)

          \(x=441\)

\(...\Rightarrow x+x+\dfrac{x}{43}+\dfrac{x}{8}=14+148+\dfrac{10}{30}+\dfrac{5}{95}\)

\(\Rightarrow\left(1+1+\dfrac{1}{43}+\dfrac{1}{8}\right)x=162+\dfrac{1}{3}+\dfrac{1}{19}\)

\(\Rightarrow\left(\dfrac{2.43.8}{43.8}+\dfrac{1.8}{43.8}+\dfrac{1.43}{43.8}\right)x=\dfrac{162.3.19}{3.19}+\dfrac{1.19}{3.19}+\dfrac{1.3}{19.3}\)

\(\Rightarrow\left(\dfrac{688}{344}+\dfrac{8}{344}+\dfrac{43}{344}\right)x=\dfrac{9234}{57}+\dfrac{19}{57}+\dfrac{3}{57}\)

\(\Rightarrow\dfrac{739}{344}x=\dfrac{9256}{57}\)

\(\Rightarrow x=\dfrac{9256}{57}:\dfrac{739}{344}=\dfrac{9256}{57}.\dfrac{344}{739}=\dfrac{\text{3184064}}{\text{42123}}\)

\(x\) + \(\dfrac{1}{10}\) + \(x\) + \(\dfrac{1}{11}\) = \(x\) + \(\dfrac{1}{21}\)

\(x+x-x\) = \(\dfrac{1}{21}\) - \(\dfrac{1}{10}\) - \(\dfrac{1}{11}\)

\(x\)             = -  \(\dfrac{331}{2310}\)

\(x+\dfrac{1}{10}+x+\dfrac{1}{11}=x+\dfrac{1}{21}\)

\(x+x-x=\dfrac{1}{21}-\dfrac{1}{10}-\dfrac{1}{11}\)

\(x=\dfrac{-11}{210}-\dfrac{1}{11}\)

\(x=\dfrac{-331}{2310}\)

f)

`(2x+1)^3=343`

`(2x+1)^3=7^3`

`=>2x+1=7`

`2x=7-1`

`2x=6`

`x=6:2`

`x=3`

g)

`(x-1)^3 =125`

`(x-1)^3 =5^3`

`=>x-1=5`

`x=6`

h)

`2^(x+2)-2^x=96`

`2^x *2^2 -2^x =96`

`2^x (2^2 -1)=96`

`2^x *3=96`

`2^x =32`

`2^x =2^5`

`=>x=5`

i)

`(x-5)^4 =(x-5)^6` (`x>=5`)

`(x-5)^6 -(x-5)^4 =0`

`(x-5)^4 [(x-5)^2 -1]=0`

`=>x-5=0` hoặc `(x-5)^2 -1=0`

`<=>x=5` hoặc `(x-5)^2 =1`

`<=>x=5` hoặc `x-5=1` hoặc `x-5=-1`

`<=>x=5` hoặc `x=6` hoặc `x=4`

j)

`720:[41-(2x-5)]=2^3 *5`

`720:[41-(2x-5)]=8*5`

`720:[41-(2x-5)]=40`

`41-(2x-5)=720:40`

`41-(2x-5)=18`

`2x-5=41-18`

`2x-5=23`

`2x=28`

`x=14`

\(x\) + \(\dfrac{1}{4}\) + \(x\) + \(\dfrac{3}{2}\) = \(x\) + \(\dfrac{2}{3}\) + \(x\) + 4

\(x\) + \(x\) - \(x\) - \(x\) = \(\dfrac{2}{3}\) + 4 - \(\dfrac{1}{4}\) - \(\dfrac{3}{2}\)

                0 = \(\dfrac{8}{12}\) + \(\dfrac{48}{12}\) - \(\dfrac{3}{12}\) - \(\dfrac{18}{12}\)

               0  = \(\dfrac{35}{12}\) (vô lý)

Vậy   \(x\in\) \(\varnothing\) 

\(...\Rightarrow x+x-x-x=\dfrac{2}{3}+4-\dfrac{1}{4}-\dfrac{3}{2}\)

\(\Rightarrow0x=\dfrac{8}{12}+\dfrac{48}{12}-\dfrac{3}{12}-\dfrac{18}{12}\)

\(\Rightarrow0x=\dfrac{19}{12}\) (vô lý)

\(\Rightarrow x\in\varnothing\)

\(x\) + \(\dfrac{1}{10}\) + \(x\) + \(\dfrac{1}{10}\) = \(x\) + \(\dfrac{1}{21}\)

\(x+x\) - \(x\)  =  \(\dfrac{1}{21}\) -  \(\dfrac{1}{10}\) - \(\dfrac{1}{10}\) 

         \(x\)    = \(\dfrac{1}{21}\)  - \(\dfrac{1}{5}\) 

          \(x\) = - \(\dfrac{16}{105}\) 

`@` `\text {Ans}`

`\downarrow`

\(3^2\cdot2^5\cdot\left(\dfrac{2}{3}\right)^2\)

`=`\(\left(3\cdot\dfrac{2}{3}\right)^2\cdot2^5\)

`=`\(2^2\cdot2^5=2^7\)

\(3^2\cdot2^5\cdot\left(\dfrac{2}{3}\right)^2\)

\(=2^5\cdot\left(3\cdot\dfrac{2}{3}\right)^2\)

\(=2^5\cdot\left(\dfrac{3\cdot2}{3}\right)^2\)

\(=2^5\cdot2^2\)

\(=2^{2+5}\)

\(=2^5\)