Bài 1: 

a: \(A=\left(-\dfrac{1}{5}\right)^{33}:\left(-\dfrac{1}{5}\right)^{32}=\dfrac{-1}{5}\)

c: \(C=\dfrac{2^{12}\cdot3^{10}+3^9\cdot2^9\cdot2^3\cdot3\cdot5}{2^{12}\cdot3^{12}+2^{11}\cdot3^{11}}\)

\(=\dfrac{2^{12}\cdot3^{10}\left(1+5\right)}{2^{11}\cdot3^{11}\cdot7}=\dfrac{2}{3}\cdot\dfrac{6}{7}=\dfrac{12}{21}=\dfrac{4}{7}\)

B

a: =6x5/4=30/4=15/2

b: =8x7/12=56/12=14/3

c: =5x8/7=40/7

d: =15x3/5=9

a: =6x5/4=30/4=15/2

b: =8x7/12=56/12=14/3

c: =5x8/7=40/7

d: =15x3/5=9

\(a,6:\dfrac{4}{5}=6\text{×}\dfrac{5}{4}=\dfrac{30}{4}=\dfrac{15}{2}\)

\(b,8:\dfrac{12}{7}=8\text{×}\dfrac{7}{12}=\dfrac{56}{12}=\dfrac{14}{3}\)

\(c,5:\dfrac{7}{8}=5\text{×}\dfrac{8}{7}=\dfrac{40}{7}\)

\(d,15:\dfrac{5}{3}=15\text{×}\dfrac{3}{5}=\dfrac{45}{5}=9\)

`a, 2/3 +3/4 = (8+9)/12=17/12.`

`1 1/3+4/5 = 4/3 + 4/5 = (20+12)/15=32/15`.

`=> x=2.`

`b, 5/6-1/4=(20-6)/24=7/12`.

`2 1/3-2/5= 7/3-2/5 = (35-6)/15=29/15`.

`=> x=1`.

a) \(\dfrac{2}{3}+\dfrac{3}{4}=\dfrac{8+9}{12}=\dfrac{17}{12}\)

-> 1 1/3 + 4/5 = 4/3 + 4/5 =  20+12/15 = 32/15

vậy x có thể = 14/14 = 1 (x thuộc N)

a. 0,03                b. 1,8

a)0,3

b)9/5=1.8

a: \(\dfrac{3}{100}m=0.03m\)

b: \(1\dfrac{4}{5}km=1.8km\)

a: =>5/12căn x=1/3+1/6=3/6+1/6=4/6=2/3

=>căn x=2/3:5/12=2/3x12/5=24/15=8/5

=>x=64/25

b: =>|x-1|-1=|-1|=1

=>|x-1|=2

=>x-1=2 hoặc x-1=-2

=>x=3 hoặc x=-1

a)

\(-12:\left(\dfrac{3}{4}-\dfrac{5}{6}\right)^2\)

\(=-12:\left(\dfrac{18}{24}-\dfrac{20}{24}\right)^2\)

\(=-12:\left(\dfrac{-1}{12}\right)^2\)

\(=-12:\dfrac{1}{144}\)

\(=-12\times\dfrac{144}{1}\)

\(=-1728\)

b)

\(\left(2^2:\dfrac{4}{3}-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)

\(=\left(4\times\dfrac{3}{4}-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)

\(=\left(3-\dfrac{1}{2}\right)\times\dfrac{6}{5}-17\)

\(=\dfrac{5}{2}\times\dfrac{6}{5}-17\)

\(=3-17\)

\(=-14\)

a)\(=-12:\left(-\dfrac{1}{12}\right)^2\)
\(=-12:\dfrac{1}{144}\)\(=-12.144=-1728\)
b)\(=\left(8:\dfrac{4}{3}-\dfrac{1}{2}\right).\dfrac{6}{5}-17\)
\(=\left(6-\dfrac{1}{2}\right).\dfrac{6}{5}-17\)
\(=\dfrac{11}{2}.\dfrac{6}{5}-17=\dfrac{33}{5}-17=\dfrac{33}{5}-\dfrac{85}{5}=-\dfrac{2}{5}\)

   

Ghép các miếng bìa như sau: a) 1/12 + 2/12 = 3/12 =1/4 b) 4/12 + 2/12 = 6/12 = 1/2 c) 5/12 + 2/12 = 7/12 5/12 + 2/12 + 1/12 = 8/12 = 2/3 5/12 + 4/12 = 9/12 = 3/4 5/12 + 4/12 + 1/12 = 10/12 = 5/6 5/12 + 4/12 + 2/12 = 11/12 5/12 + 4/12 + 2/12 + 1/12 = 12/12

\(1\dfrac{1}{2}x1\dfrac{1}{3}x1\dfrac{1}{4}x1\dfrac{1}{5}x1\dfrac{1}{6}x1\dfrac{1}{7}x1\dfrac{1}{8}x1\dfrac{1}{9}\)

\(=\dfrac{3}{2}x\dfrac{4}{3}x\dfrac{5}{4}x\dfrac{6}{5}x\dfrac{7}{6}x\dfrac{8}{7}x\dfrac{9}{8}x\dfrac{10}{9}\)

\(=x^7.\dfrac{3.4.5.6.7.8.9.10}{2.3.4.5.6.7.8.9}\)

\(=x^7.\dfrac{10}{2}\)

\(=5x^7\)

\(=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times...\times\dfrac{9}{8}\times\dfrac{10}{9}=\dfrac{10}{2}=5\)