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a) \(=\left(\left(-\frac{1}{4}-\frac{5}{3}\right)+\frac{7}{33}\right)-\left(-\frac{15}{12}+\frac{6}{11}-\frac{48}{49}\right)\)
\(=\left(-\frac{23}{12}+\frac{7}{33}\right)+\frac{15}{12}-\frac{6}{11}+\frac{48}{49}\)
\(=\left(-\frac{23}{12}+\frac{15}{12}\right)+\left(\frac{9}{33}-\frac{6}{11}\right)+\frac{48}{49}\)
\(=-\frac{2}{3}-\frac{3}{11}+\frac{48}{49}\)
\(=\frac{65}{1617}\)
b) \(=\frac{11}{125}+\left(-\frac{17}{18}+\frac{4}{9}\right)+\left(-\frac{5}{7}+\frac{17}{14}\right)\)
\(=\frac{11}{125}-\frac{1}{2}+\frac{1}{2}\)
\(=\frac{11}{125}\)
a, (\(\dfrac{9}{10}\) - \(\dfrac{15}{16}\)) \(\times\) ( \(\dfrac{5}{12}\) - \(\dfrac{11}{15}\) - \(\dfrac{7}{20}\))
= (\(\dfrac{72}{80}\) - \(\dfrac{75}{80}\)) \(\times\) (\(\)\(\dfrac{25}{60}\) - \(\dfrac{44}{60}\) - \(\dfrac{21}{60}\))
= - \(\dfrac{3}{80}\) \(\times\) (- \(\dfrac{2}{3}\))
= \(\dfrac{1}{40}\)
b, (-1)3 + (- \(\dfrac{2}{3}\))2 : 2\(\dfrac{2}{3}\) + \(\dfrac{5}{6}\)
= -13 + \(\dfrac{4}{9}\) : \(\dfrac{8}{3}\) + \(\dfrac{5}{6}\)
= -1 + \(\dfrac{4}{9}\) \(\times\) \(\dfrac{3}{8}\) + \(\dfrac{5}{6}\)
= -1 + \(\dfrac{1}{6}\) + \(\dfrac{5}{6}\)
= -1 + 1
= 0
\(\left(\frac{-1}{4}+\frac{7}{33}-\frac{5}{3}\right)\) \(-\left(-\frac{15}{12}+\frac{6}{11}-\frac{48}{49}\right)\)
\(=\left(\frac{-1}{4}+\frac{7}{33}-\frac{55}{33}\right)\)\(+\frac{15}{12}-\frac{6}{11}+\frac{48}{49}\)
\(=\left(\frac{-1}{4}-\frac{48}{33}\right)\)\(+\frac{8085}{6468}\)\(-\)\(\frac{3528}{6468}\)\(+\frac{6603}{6468}\)
\(=\frac{-75}{44}\)\(+\frac{930}{539}\)\(=\frac{45}{2156}\)
Bước đến nhà em bóng xế tà
Đứng chờ năm phút bố em ra
Lơ thơ phía trước vài con chó
Lác đác đằng sau chiếc chổi chà
Sợ quá anh chuồn quên đôi dép
Bố nàng ngoác mỏ đứng chửi cha
Phen này nhất quyết thuê cây kiếm
Trở về chém ổng đứt làm ba
\(\frac{8^{15}.3^{16}}{4^{22}.9^8}=\frac{\left(2^3\right)^{15}.3^{16}}{\left(2^2\right)^{22}.\left(3^2\right)^8}=\frac{2^{45}.3^{16}}{2^{44}.3^{16}}=2\)
\(\frac{8^{15}.3^{16}}{4^{22}.9^8}=\frac{\left(2^3\right)^{15}.3^{16}}{\left(2^2\right)^{22}.\left(3^2\right)^8}=\frac{2^{45}.3^{16}}{2^{44}.3^{16}}=2\)
10\(^3\) + 2. 5\(^3\) + \(\frac{5^3}{55}\)
= 1000 + 2. 125 + \(\frac{125}{55}\)
= 1000 + 250 + \(\frac{25}{11}\)
= 1250 + \(\frac{25}{11}\)
= 1250\(\frac{25}{11}\) =\(\frac{\text{ 89575}}{88}\)
\(\frac{3}{5}:\left(-\frac{1}{15}-\frac{1}{6}\right)+\frac{3}{5}:\left(-\frac{1}{3}-\frac{16}{15}\right)\)
\(=\frac{3}{5}:\left(-\frac{7}{30}\right)+\frac{3}{5}:\left(-\frac{7}{5}\right)\)
\(=\frac{3}{5}.\left(-\frac{30}{7}\right)+\frac{3}{5}.\left(-\frac{5}{7}\right)\)
\(=\frac{3}{5}\left(-\frac{30}{7}-\frac{5}{7}\right)\)
\(=\frac{3}{5}.\left(-\frac{35}{7}\right)\)
\(=-3\)