\(\dfrac{6\times8\times11}{66\times4}=\dfrac{6\times4\times2\times11}{6\times11\times4}=2\)

A

A

Thì vì 31¹¹<32¹¹ mà32¹¹=(2⁵)¹¹     thi bằng 2^5×11 =2⁵⁵

Câu kia cũng thế 

Khi 2⁵⁵va2⁵⁶ đã có chung cơ số thì ta so sánh số mũ so mũ nào lớn hơn thì lũy thừa đó lớn hơn 

2⁵⁵<2⁵⁶hay32¹¹<16¹⁴

ta thấy 31¹¹<32¹¹<16¹⁴<17¹⁴

suy ra 31¹¹<17¹⁴

1. So sánh bằng cách nhanh nhất:

a. \(\frac{28}{31}>\frac{28}{33}\)

b.\(\frac{28}{81}>\frac{11}{34}\)

c. \(\frac{13}{11}>\frac{31}{32}\)

d. \(\frac{1994}{1995}>\frac{36}{37}\)

Giúp mình với!!!

giải cả cách làm b ơi

\(\dfrac{2}{3}+\dfrac{1}{3}:x=\dfrac{1}{2}\)
\(\dfrac{1}{3}:x=\dfrac{1}{2}-\dfrac{2}{3}\)
\(\dfrac{1}{3}:x=-\dfrac{1}{6}\)
\(x=\dfrac{1}{3}:\left(-\dfrac{1}{6}\right)\)
\(x=-2\)
Vậy ...
#AvoidMe

`2/3 +1/3 : x=1/2`

`=> 1/3 : x= 1/2 -2/3`

`=> 1/3 : x= 3/6 -4/6`

`=> 1/3 : x=-1/6`

`=> x=1/3 :(-1/6)`

`=> x=1/3 xx (-6)`

`=> x= -2`

Vậy `x=-2`

(x+2).5=210

\(\left|x+1\right|-\left|-2x-2\right|=2\)

\(\Leftrightarrow\left|x+1\right|-\left|-2\left(x+1\right)\right|=2\)

\(\Leftrightarrow\left|x+1\right|-2\left|x+1\right|=2\)

\(\Leftrightarrow-\left|x+1\right|=2\)

\(\Leftrightarrow\left|x+1\right|=-2\)

\(\Leftrightarrow\left|x+1\right|+2=0\)

Mà: \(\left|x+1\right|\ge0\forall x\Rightarrow\left|x+1\right|+2\ge2>0\)

\(\Leftrightarrow\left|x+1\right|+2=0\) (vô lí)

Vậy phương trình vô nghiệm:

\(x\in\varnothing\)

=>|x+1|-2|x+1|=2

=>-|x+1|=2

=>|x+1|=-2(vô lý)

Vậy: \(x\in\varnothing\)

\(TH_1:\left\{{}\begin{matrix}x+1\ge0\\-2x-2\ge0\end{matrix}\right.\) 

\(\left(1\right)\left(x+1\right)-\left(-2x-2\right)=2\) 

\(\Leftrightarrow x+1+2x+2=2\)

\(\Leftrightarrow3x+3=2\)  

\(\Leftrightarrow x=-\dfrac{1}{3}\left(l\right)\)

\(TH_2:\left\{{}\begin{matrix}x+1< 0\\-2x-2< 0\end{matrix}\right.\) 

\(\left(1\right)\left(x+1\right)-\left(-\left(-2x-2\right)\right)=2\) 

\(\Leftrightarrow-x-1+2x+2=2\) 

\(\Leftrightarrow x+1=2\)

\(\Leftrightarrow x=1\left(l\right)\) 

Vậy tập nghiệm rỗng.

\(1-x=\frac{29}{12}+\frac{32}{8}\)

\(\Rightarrow1-x=\frac{77}{12}\)

\(\Rightarrow x=1-\frac{77}{12}=\frac{-65}{12}\)

\(\frac{31}{8}.x-\frac{11}{4}=\frac{42}{12}.\frac{10}{8}-\frac{1}{3}\)

\(\Rightarrow\frac{31}{8}.x-\frac{11}{4}=\frac{35}{8}-\frac{1}{3}\)

\(\Rightarrow\frac{31}{8}.x-\frac{11}{4}=\frac{97}{24}\)

\(\Rightarrow\frac{31}{8}.x=\frac{97}{24}+\frac{11}{4}=\frac{163}{24}\)

\(\Rightarrow x=\frac{163}{24}:\frac{31}{8}=\frac{163}{93}\)

=\(\frac{-65}{12}\)

hok

tốt

nha

ko bt làm thì có :))

mau lên ik dễ mà                               

  31+32+33+34+35-11-12-13-14-15=100