b: \(B=18\cdot3+16\cdot81\cdot79-8\cdot5\)

=102398

a/\(\frac{2^3\cdot3^4}{2^2\cdot3^2\cdot5}=\frac{18}{5}\)\(\frac{2^4\cdot5^2\cdot11^2\cdot7}{2^3\cdot5^3\cdot7^2\cdot11}=\frac{2\cdot11}{5\cdot7}=\frac{22}{35}\)

b/\(\frac{121\cdot75\cdot130\cdot169}{39\cdot60\cdot11\cdot198}=\frac{11^2\cdot5^3\cdot13^3\cdot2\cdot3}{2^3\cdot3^4\cdot5\cdot11^2\cdot13}=\frac{5^2\cdot13^2}{2^2\cdot3^3}=\frac{4225}{108}\)

c/\(\frac{1998\cdot1990+3978}{1992\cdot1991-3984}=\frac{2^2\cdot3^3\cdot37\cdot5\cdot199+2\cdot3^2\cdot13\cdot17}{2^3\cdot3\cdot83\cdot11\cdot181-2^4\cdot3\cdot83}=\frac{2\cdot3^2\cdot11\cdot20101}{2^3\cdot3^3\cdot13\cdot17\cdot83}=\frac{11\cdot20101}{2^2\cdot3\cdot13\cdot17\cdot83}\)

ê ku dạng nào z

tui cg l 6

\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.5^3.2^4.42}\)

\(=\frac{-8.27.125.7.8}{3.125.16.42}\)

\(=\frac{-8.3.9.125.7.8}{3.125.8.2.7.6}\)

\(=\frac{-72}{12}\)

\(=-6\)

a) \(3.5^2-27:3^2-5^2.4-18:3^2\)

\(=3.\left(5^2-5^2\right).27:\left(3^2-3^2\right)\)

\(=15.0.27.0\)

\(=0.0=0\)

b) 

  2x-1 là bội của x+3

=> 2x-1 chia hết cho x+3

hay [2(x+3)-7] chia hết ho x+ 3

=> 7 chia hết cho x+ 3

x+3 εεƯ(7)={1,-1,7,-7}

x+3=1                     x+3=-1                        x+3=7                    x+3= -7

x    = 1-3                 x    = -1-3                    x    = 7-3                x    = -7-3

x    = -2                  x     =  -4                     x     =4                   x    = -10

Vậy x= -2, x=-4,x= 4, x= -10

c) \(205-\left[1200-\left(4^2-2.3\right)^3\right]:40\)

\(=205-\left[1200-16-6^3\right]:40\)

\(=205-\left[1200-10^3:40\right]\)

\(=205-1200-1000:40\)

\(=205-200:40\)

\(=205-5\)

\(=200\)

a.2/5

b.16/9<24/13             27/28<26/25

Giải:

A=5/9+2/15-6/9

   =(5/9-6/9)+2/15

   = -1/9 + 2/15

   = 1/45

B=2/7-3/8+4/7+1/7-5/8+5/15

   = (2/7+4/7+1/7) + (-3/8-5/8) +1/3

   = 1+ (-1) +1/3

   =1/3

C=3/5+1/15+1/57+1/3-2/9-3/4-1/36

   =9/15+1/15+1/57+19/57-8/36-27/36-1/36

   =(9/15+1/15)+(1/57+19/57)+(-8/36-27/36-1/36)

   =2/3+20/57+(-1)

   =58/57+(-1)

   =1/57

D=1/1.2+1/2.3+1/3.4+...+1/99.100

   =1/1-1/2+1/2-1/3+1/3-1/4+...+1/99-1/100

   =1/1-1/100

   =99/100

Câu E mình ko biết làm nhé!