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\(=125\left(\dfrac{1}{93}+\dfrac{1}{43}\right)=125\cdot\dfrac{136}{3999}=\dfrac{17000}{3999}\)

24 tháng 6 2018

\(2\dfrac{1}{3}-125\%.x=\dfrac{1}{4}\)

\(\dfrac{7}{3}-\dfrac{125}{100}.x=\dfrac{1}{4}\)

\(\dfrac{5}{4}x=\dfrac{28}{12}-\dfrac{3}{12}\)

\(\dfrac{5}{4}x=\dfrac{25}{12}\)

\(x=\dfrac{25}{12}.\dfrac{4}{5}\)

\(x=\dfrac{100}{60}\) \(=\dfrac{5}{3}\)

Vậy \(x=\dfrac{5}{3}\).

24 tháng 6 2018

\(2\dfrac{1}{3}\) - 125% . x = \(\dfrac{1}{4}\)

=> \(\dfrac{7}{3}\) - \(\dfrac{125}{100}\) . x = \(\dfrac{1}{4}\)

=> \(\dfrac{5}{4}x\) = \(\dfrac{28}{12}\) - \(\dfrac{3}{12}\)

=> \(\dfrac{5}{4}x\) = \(\dfrac{25}{12}\)

=> \(\dfrac{25}{12}\). \(\dfrac{4}{5}\)

=> \(\dfrac{100}{60}\)\(=\dfrac{5}{3}\)

x = \(\dfrac{5}{3}\)

14 tháng 4 2017

1) \(\dfrac{17}{5}\cdot\dfrac{-31}{125}\cdot\dfrac{1}{2}\cdot\dfrac{10}{17}\cdot\dfrac{-1}{2^3}\)

\(=\dfrac{17\cdot\left(-31\right)\cdot1\cdot2\cdot5\cdot\left(-1\right)}{5\cdot125\cdot2\cdot17\cdot8}\)

\(=\dfrac{\left(-31\right)\left(-1\right)}{125\cdot8}\\ =\dfrac{31}{1000}\)

a: 51/56=1-5/56

61/66=1-5/66

mà -5/56<-5/66

nên 51/56<61/66

b: 41/43<1<172/165

c: \(\dfrac{101}{506}>0>-\dfrac{707}{3534}\)

14 tháng 3 2017

Ta có \(\left(\dfrac{1}{x}\right)^2=\dfrac{1}{125}\Rightarrow\dfrac{1}{x}=\sqrt{\dfrac{1}{125}}=\dfrac{1}{\sqrt{125}}\)

=>x=\(\sqrt{125}\)

26 tháng 7 2017

cho mk sửa lại

tacó:

\(\dfrac{-64}{125}=\left(\dfrac{-4}{5}\right)^3\)

suy ra\(\dfrac{2}{3}-\dfrac{3}{5}x=\dfrac{-4}{5}\)

\(\dfrac{3}{5}x=\dfrac{2}{3}-\dfrac{-4}{5}\)

\(\dfrac{3}{5}x=\dfrac{22}{15}\)

\(x=\dfrac{22}{15}:\dfrac{3}{5}\)

\(x=\dfrac{22}{9}\)

26 tháng 7 2017

ta có:

\(\dfrac{-64}{125}=\left(\dfrac{-16}{5}\right)^3\)

suy ra \(\dfrac{2}{3}-\dfrac{3}{5}x=\dfrac{-16}{5}\)

\(\dfrac{3}{5}x=\dfrac{2}{3}-\dfrac{-16}{5}\)

\(\dfrac{3}{5}x=\dfrac{58}{15}\)

\(x=\dfrac{58}{15}:\dfrac{3}{5}\)

\(x=\dfrac{58}{9}\)

24 tháng 7 2017

3) \(11\dfrac{1}{4}-\left(2\dfrac{5}{7}+5\dfrac{1}{4}\right)\)

\(=\dfrac{45}{4}-\left(7+\dfrac{27}{28}\right)\)

\(=\dfrac{45}{4}-7\dfrac{27}{28}\)

\(=\dfrac{45}{4}-\dfrac{223}{28}\)

\(=\dfrac{23}{7}\)

4) \(\dfrac{11}{125}-\dfrac{17}{18}-\dfrac{5}{7}+\dfrac{4}{9}+\dfrac{17}{14}\)

\(=\dfrac{1386-14875-11250+7000-19125}{15750}\)

\(=-\dfrac{2048}{875}\)

27 tháng 7 2017

ý a) bạn làm sai rồi !

20 tháng 6 2017

\(A=\left(\dfrac{5.5^3}{125^2.49}\right)^{15}:\left(\dfrac{5^6}{434}\right)^7\)

\(=\left(\dfrac{5^4}{5^6.7^2}\right)^{15}.\dfrac{434^7}{5^{42}}\)

\(=\left(\dfrac{1}{5^2.7^2}\right)^{15}.\dfrac{434^7}{5^{42}}\)

\(=\dfrac{62^7.7^7}{5^{30}.7^{30}.5^{42}}\)

\(=\dfrac{62^7}{5^{72}.7^{23}}\)

20 tháng 6 2017

Sao mình không thấy câu hỏi ?

3 tháng 7 2018

1)
\(=\dfrac{\left(2.3\right)^{20}.\left(5^2\right)^{19}}{\left(2^3\right)^7.\left(3^2\right)^{10}.\left(5^3\right)^{13}}\)
\(=\dfrac{2^{20}.3^{20}.5^{38}}{2^{21}.3^{20}.5^{39}}\)
\(=\dfrac{1}{2.5}\)
\(=\dfrac{1}{10}\)