Nguyễn Minh Dương

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(Thường được cập nhật sau 1 giờ!)

\(\left(7^{23}.45+7^{23}.4\right):7^{24}\\ =\left[7^{23}.\left(45+4\right)\right]:7^{24}\\=7^{23}.7^2:7^{24}\\ =7^{24}:7^{24}\\ =1.\)

\(\dfrac{2}{3}-\dfrac{2}{7}\\ =\dfrac{14}{21}-\dfrac{6}{21}\\ =\dfrac{8}{21}\\ \\ \dfrac{4}{9}:\dfrac{2}{3}\\ =\dfrac{4}{9}\times\dfrac{3}{2}\\ =\dfrac{2}{3}.\)

\(a,x-\dfrac{2}{3}=\dfrac{1}{6}\\ \Rightarrow x=\dfrac{5}{6}\\ b,2x+\dfrac{1}{2}=-\dfrac{5}{3}\\ \Rightarrow2x=-\dfrac{13}{6}\\ \Rightarrow x=-\dfrac{13}{12}\\ c,3x+\dfrac{3}{2}=x-\dfrac{5}{3}\\ \Rightarrow-4x+\dfrac{3}{2}=-\dfrac{5}{3}\\ \Rightarrow-4x=-\dfrac{19}{6}\\ \Rightarrow4x=\dfrac{19}{6}\\ \Rightarrow x=\dfrac{19}{24}.\)

\(a,x+\dfrac{2}{5}=-\dfrac{4}{3}\\ \Rightarrow x=-\dfrac{26}{15}\\ b,-\dfrac{5}{6}+\dfrac{1}{3}x=\left(-\dfrac{1}{2}\right)^2\\ \Rightarrow-\dfrac{5}{6}+\dfrac{1}{3}x=\dfrac{1}{4}\\ \Rightarrow\dfrac{1}{3}x=\dfrac{13}{12}\\ \Rightarrow x=\dfrac{13}{4}\\ c,\dfrac{7}{12}-\left(x+\dfrac{7}{6}\right).\dfrac{6}{5}=\left(-\dfrac{1}{2}\right)^3\\ \Rightarrow\dfrac{7}{12}-\left(x+\dfrac{7}{6}\right).\dfrac{6}{5}=-\dfrac{1}{8}\\ \Rightarrow\left(x+\dfrac{7}{6}\right).\dfrac{6}{5}=\dfrac{17}{24}\\ \Rightarrow x+\dfrac{7}{6}=\dfrac{85}{144}\\ \Rightarrow x=-\dfrac{83}{144}.\)

\(d,-\dfrac{3}{26}.\left(-\dfrac{15}{19}\right)+\dfrac{2}{19}.\left(-\dfrac{3}{26}\right)\\=-\dfrac{3}{26}.\left(-\dfrac{15}{19}+\dfrac{2}{19}\right)\\ =-\dfrac{13}{19}.\left(-\dfrac{3}{26}\right)\\ =\dfrac{3}{38}. \)

\(a,\dfrac{2}{15}+\left(-\dfrac{3}{5}\right)\\ =\dfrac{2}{15}-\dfrac{3}{5}\\ =\dfrac{2}{15}-\dfrac{9}{15}\\ =-\dfrac{7}{15}\\ b,-\dfrac{5}{7}+\dfrac{3}{7}\times\left(-\dfrac{2}{9}\right)\\ =-\dfrac{5}{7}-\dfrac{2}{21}\\ =-\dfrac{15}{21}-\dfrac{2}{21}\\ =-\dfrac{17}{21}\\ c,\dfrac{5}{16}-\left(\dfrac{7}{15}-\dfrac{3}{16}\right)+\dfrac{17}{30}\\ =\dfrac{5}{16}-\dfrac{7}{15}+\dfrac{3}{16}+\dfrac{17}{30}\\ =\left(\dfrac{5}{16}+\dfrac{3}{16}\right)-\left(\dfrac{17}{15}+\dfrac{17}{30}\right)\\ =\dfrac{1}{2}-\dfrac{17}{10}\\ =\dfrac{5}{10}-\dfrac{17}{10}\\ =-\dfrac{6}{5}.\)

Huỳnh Thanh Phong

E hơi thắc mắc phần

\(6+5.\left(1+5\right)\)

ạ.

 

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\(1-True\\ 2-False\\ 3-False\\ 4-False\\ 5-True\\ 6-False\\ 7-False\\ 8-True\\ 9-True\\ 10-False.\)