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d: \(D=-8\cdot\left(\dfrac{3}{4}-\dfrac{1}{4}\right):\left(\dfrac{9}{4}-\dfrac{7}{6}\right)\)
\(=-8\cdot\dfrac{1}{2}:\dfrac{27-14}{12}\)
\(=-4:\dfrac{13}{12}\)
\(=-4\cdot\dfrac{12}{13}=-\dfrac{48}{13}\)
e: \(E=5\cdot4-4\cdot3+5-0.3\cdot20\)
=20-12+5-6
=8+5-6
=13-6=7
f: \(F=\dfrac{9}{4}+\dfrac{5}{6}-\dfrac{3}{2}:6\)
\(=\dfrac{9}{4}+\dfrac{5}{6}-\dfrac{3}{12}\)
\(=\dfrac{27}{12}+\dfrac{10}{12}-\dfrac{3}{12}=\dfrac{34}{12}=\dfrac{17}{6}\)
Tính nhanh
\(6\left(\frac{-2}{3}\right)+12\left(\frac{-2}{3}\right)^2+18\left(\frac{-2}{3}\right)^3\)
\(6\left(\frac{-2}{3}\right)+12\left(\frac{-2}{3}\right)^2+18\left(\frac{-2}{3}\right)^2\)
\(=\frac{-2}{3}\times6\times\left[1+2\left(\frac{-2}{3}\right)+3\left(\frac{-2}{3}\right)\right]\)
\(=-4\times\left[1+\left(\frac{-2}{3}\right)\left(2+3\right)\right]\)
\(=-4\times\left(1+\frac{-10}{3}\right)\)
\(=-4+\frac{40}{3}\)
\(=-\frac{12}{3}+\frac{40}{3}\)
\(=\frac{28}{3}\)
\(\left[18\frac{1}{6}-\left(0,06:7\frac{1}{2}+3\frac{2}{5}\cdot0,38\right)\right]:\left[16-2\frac{2}{3}\cdot4\frac{3}{4}\right]\)
\(< =>\left[18\frac{1}{6}-\left(\frac{1}{125}+\frac{323}{250}\right)\right]:\left[16-\frac{38}{3}\right]\)
\(< =>\left[18\frac{1}{6}-\frac{13}{10}\right]:\frac{10}{3}\)
\(< =>\frac{253}{15}:\frac{10}{3}\)
\(< =>\frac{253}{50}\)
\(=-0.01196897095\)