\(1,\\ a,=\left(\dfrac{1}{4}\right)^3\cdot32=\dfrac{1}{64}\cdot32=\dfrac{1}{2}\\ b,=\left(\dfrac{1}{8}\right)^3\cdot512=\dfrac{1}{512}\cdot512=1\\ c,=\dfrac{2^6\cdot2^{10}}{2^{20}}=\dfrac{1}{2^4}=\dfrac{1}{16}\\ d,=\dfrac{3^{44}\cdot3^{17}}{3^{30}\cdot3^{30}}=3\\ 2,\\ a,A=\left|x-\dfrac{3}{4}\right|\ge0\\ A_{min}=0\Leftrightarrow x=\dfrac{3}{4}\\ b,B=1,5+\left|2-x\right|\ge1,5\\ A_{min}=1,5\Leftrightarrow x=2\\ c,A=\left|2x-\dfrac{1}{3}\right|+107\ge107\\ A_{min}=107\Leftrightarrow2x=\dfrac{1}{3}\Leftrightarrow x=\dfrac{1}{6}\)

\(d,M=5\left|1-4x\right|-1\ge-1\\ M_{min}=-1\Leftrightarrow4x=1\Leftrightarrow x=\dfrac{1}{4}\\ 3,\\ a,C=-\left|x-2\right|\le0\\ C_{max}=0\Leftrightarrow x=2\\ b,D=1-\left|2x-3\right|\le1\\ D_{max}=1\Leftrightarrow x=\dfrac{3}{2}\\ c,D=-\left|x+\dfrac{5}{2}\right|\le0\\ D_{max}=0\Leftrightarrow x=-\dfrac{5}{2}\)

Câu a)
\(\hept{\begin{cases}A=3,4\cdot10^{-8}=3,4\cdot\frac{1}{10^8}=\frac{3,4}{10^8}\\B=34\cdot10^{-9}=34\cdot\frac{1}{10^9}=\frac{3,4\cdot10}{10^8\cdot10}=\frac{3,4}{10^8}\end{cases}}\)
\(\Rightarrow\frac{A}{B}=1\)

Câu b)
\(\hept{\begin{cases}A=10^{-4}+10^{-3}+10^{-2}=\frac{1}{10^4}+\frac{1}{10^3}+\frac{1}{10^2}=\frac{10^5+10^6+10^7}{10^9}\\B=10^{-9}=\frac{1}{10^9}\end{cases}}\)
\(\Rightarrow\frac{A}{B}=10^5+10^6+10^7=11100000\)

a ) A gấp B 10 lần

help my mn ới

tách ra bn hơi dài cho từ cái 1 thôi

\(A=\frac{1}{3}\)

\(B=\frac{25}{11}.\frac{13}{12}.\left(-2,2\right)=\frac{-65}{12}\)

\(C=\frac{11}{20}.\left(-\frac{2}{5}\right)=-\frac{11}{50}\)

tự sắp xếp nha

A= 2/3 +3/4  . -4/9

  = 2/3 - 1/3

  = 1/3

B=\(2\frac{3}{11}.1\frac{1}{12}.\left(-2,2\right)\)

  = 25/11.13/12.-11/5

  = (25/11.-11/5).13/12

  = -5 . 13/12

  = -65/12

C= (3/4-0,2)(0,4-4/5)

  = (0,75 - 0,2)( 0,4 - 0,8)

  = 0,55 . -0,4

  = -0,22 = -11/50

Ta có: A= 1/3 ; B=-65/12 ; C= -11/50

=> -65/12 < -11/50 < 0 

Mà 1/3 > 0 => -65/ 12 < -11/50 < 1/3

Vậy b<c<a

\(A=\frac{2}{3}+\frac{3}{4}.\left(-\frac{4}{9}\right)\)

    \(=\frac{2}{3}.\left(-\frac{1}{3}\right)\) 

    \(=-\frac{2}{9}\)

\(B=2\frac{3}{11}.1\frac{1}{12}.\left(-2,2\right)\)

    \(=\frac{25}{11}.\frac{13}{12}.\left(-\frac{11}{5}\right)\)

    \(=\frac{325}{132}.\left(-\frac{11}{5}\right)\)

    \(=-\frac{65}{12}\)

\(C=\left(\frac{3}{4}-0,2\right).\left(0,4-\frac{4}{5}\right)\)

    \(=\frac{11}{20}.\left(-\frac{2}{5}\right)\)

     \(=-\frac{11}{50}\)

Giá trị của các biểu thức sắp sếp từ nhỏ đến lớn là:

        B<C<A

hay: \(-\frac{65}{12}< -\frac{11}{50}< -\frac{2}{9}\)

 ^...^ ^_^

\(A=\frac{0,87.7+0,8^2}{\left(1,25.7-\frac{4}{5}.1,25\right)+31,64}\)

\(A=\frac{0,87\left(7+0,8\right)}{\left[1,25\left(7-\frac{4}{5}\right)\right]+31,64}\)

\(A=\frac{6,786}{7,75+31,64}\)

\(A=\frac{87}{505}\)

\(B=\frac{\left(1,09-0,29\right).\frac{5}{4}}{\left(18,9-16,65\right).\frac{8}{9}}\)

\(B=\frac{0,8.\frac{5}{4}}{2,25.\frac{8}{9}}\)

\(B=\frac{1}{2}\)

        A gấp B số lần là:\(\frac{87}{505}:\frac{1}{2}=\frac{174}{505}\)

`A=(8 2/7-4 2/7)-3 4/9`

`=8+2/7-4-2/7-3-4/9`

`=4-3-4/9`

`=1-4/9=5/9`

`B=(10 2/9-6 2/9)+2 3/5`

`=10+2/9-6-2/9+2+3/5`

`=4+2+3/5`

`=6+3/5=33/5`

Bài 2:

`a)5 1/2*3 1/4`

`=11/2*13/4`

`=143/8`

`b)6 1/3:4 2/9`

`=19/3:38/9`

`=19/3*9/38=3/2`

`c)4 3/7*2`

`=31/7*2`

`=62/7`

Bài 1:

\(A=\left(8\dfrac{2}{7}-4\dfrac{2}{7}\right)-3\dfrac{4}{9}\) 

\(A=\left(\dfrac{58}{7}-\dfrac{30}{7}\right)-\dfrac{31}{9}\) 

\(A=4-\dfrac{31}{9}\) 

\(A=\dfrac{5}{9}\) 

\(B=\left(10\dfrac{2}{9}-6\dfrac{2}{9}\right)+2\dfrac{3}{5}\) 

\(B=\left(\dfrac{92}{9}-\dfrac{56}{9}\right)+\dfrac{13}{5}\) 

\(B=4+\dfrac{13}{5}\) 

\(B=\dfrac{33}{5}\)

Bài 2:

a) \(5\dfrac{1}{2}.3\dfrac{1}{4}=\dfrac{11}{2}.\dfrac{13}{4}=\dfrac{11.13}{2.4}=\dfrac{143}{8}\) 

b) \(6\dfrac{1}{3}:4\dfrac{2}{9}=\dfrac{19}{3}:\dfrac{38}{9}=\dfrac{19}{3}.\dfrac{9}{38}=\dfrac{3}{2}\) 

c) \(4\dfrac{3}{7}.2=\dfrac{31}{7}.2=\dfrac{31.2}{7}=\dfrac{62}{7}\)

ai trả lời nhanh nhất và đúng nhất mink cho nha !!!!!
 

a: \(=\dfrac{2^9\cdot5^9\cdot3^{40}}{2^{12}\cdot5^{10}\cdot3^{20}}=\dfrac{3^{20}}{5\cdot2^3}\)

b: \(=\dfrac{-3^8\cdot2^{10}\cdot5^6}{2^9\cdot\left(-1\right)\cdot3^6\cdot5^7}=\dfrac{-2}{5}\cdot3^2=-\dfrac{18}{5}\)

c: \(=\dfrac{3^{186}\cdot5^{100}}{5^{100}\cdot3^{187}}=\dfrac{1}{3}\)

Các câu sai: a, c, d, f

Các câu đúng: b, e

Các câu đúng: b,e
Các câu sai: a, c, d; f.
a) \(\left(-5\right)^2.\left(-5\right)^3=\left(-5\right)^5\);
c) \(\left(0,2\right)^{10}:\left(0,2\right)^5=\left(0,2\right)^{10-5}=0,2^5\);
d) \(\left[\left(-\dfrac{1}{7}\right)^2\right]^4=\left(-\dfrac{1}{7}\right)^{2.4}=\left(-\dfrac{1}{7}\right)^8\)
f \(\dfrac{8^{10}}{4^8}=\dfrac{\left(2^3\right)^5}{\left(2^2\right)^8}=\dfrac{2^{15}}{2^{16}}=\dfrac{1}{2}\)

- Các câu sai là a, c, d, f

- Các câu đúng là b, e

Sửa lại:

a) (-5)2 .(-5)3 = (-5)5

c) (0,2)10 : (0,2)5 = (0,2)5