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Ta có: \(\dfrac{3}{4}-\left[\left(-\dfrac{3}{5}\right)-\left(\dfrac{1}{12}+\dfrac{2}{9}\right)-\left(-\dfrac{2}{9}-\dfrac{5}{3}\right)\right]\)
\(=\dfrac{3}{4}-\left(-\dfrac{3}{5}-\dfrac{1}{12}-\dfrac{2}{9}+\dfrac{2}{9}+\dfrac{5}{3}\right)\)
\(=\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{1}{12}-\dfrac{5}{3}\)
\(=\dfrac{45}{60}+\dfrac{36}{60}+\dfrac{5}{60}-\dfrac{100}{60}\)
\(=\dfrac{-14}{60}=\dfrac{-7}{30}\)
\(a,2010:\left(-5\right)+400-1\\ =-402+400-1\\ =-3\\ b,\dfrac{2}{3}+\dfrac{3}{4}.\left(-\dfrac{4}{9}\right)\\ =\dfrac{2}{3}-\dfrac{1}{3}\\ =\dfrac{1}{3}\\ c,\left(1-\dfrac{2}{3}-\dfrac{1}{4}\right)\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2\\ =\dfrac{1}{12}.\left(\dfrac{1}{20}\right)^2\\ =\dfrac{1}{12}.\dfrac{1}{400}\\ =\dfrac{1}{4800}\)
a) \(2010:\left(-5\right)+400-1=-400+400-1=-1\)
b) \(\dfrac{2}{3}+\dfrac{3}{4}\cdot\dfrac{-4}{9}=\dfrac{2}{3}+\dfrac{-1}{3}=\dfrac{1}{3}\)
c) \(\left(1-\dfrac{2}{3}-\dfrac{1}{4}\right)\cdot\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2=\dfrac{1}{12}\cdot\dfrac{1}{400}=\dfrac{1}{4800}\)
a, (\(\dfrac{9}{4}\))5 : (\(\dfrac{1}{4}\))5
= (\(\dfrac{9}{4}\) : \(\dfrac{1}{4}\))5
= 95
= 59049
b, 182 : 92
= (18:9)2
= 22
= 4
c, [(-2)\(^4\)]3
= 212
= 4096
d, 57.(\(\dfrac{1}{5}\))7
= (5.\(\dfrac{1}{5}\))7
= 17
= 1
e, (6,5)3: (6,5)2
= 6,5