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= 35 . 67 - 167 . 35
= 35 . (67 - 167 )
= 35 . ( -100 )
= -3500
35.67+167.(-35)
=35.67+(-167).35
=35.[67+(-167)]
=35.100=3500
a) (-25). ( 35-147) + 35. (25-147)
= -875 + 3675 + 875 - 5145
= ( -875 + 875 ) + 3675 - 5145
= 0 + ( - 1470 )
= - 1475
\(\dfrac{16^3.3^{10}+120.6^9}{4^6.3^{12}+6^{11}}=\dfrac{\left(2^4\right)^3.3^{10}+3.5.2^3.\left(2.3\right)^9}{\left(2^2\right)^6.3^{12}+\left(2.3\right)^{11}}\)
\(=\dfrac{2^{12}.3^{10}+3.5.2^3.2^9.3^9}{2^{12}.3^{12}+2^{11}.3^{11}}=\dfrac{2^{12}.3^{10}+5.2^{12}.3^{10}}{2^{12}.3^{12}+2^{11}.3^{11}}\)
\(=\dfrac{2^{12}.3^{10}\left(1+5\right)}{2^{11}.3^{11}.\left(2.3+1\right)}\)\(=\dfrac{2^{12}.3^{10}.6}{2^{11}.3^{11}.7}=\dfrac{2.2}{7}=\dfrac{4}{7}\)
\(-\frac{3}{5}.\frac{11}{7}+\frac{3}{-5}.\frac{4}{7}+\frac{23}{7}\)
\(=\frac{-3}{5}\left(\frac{11}{7}+\frac{4}{7}\right)+\frac{23}{7}\)
\(=\frac{-3}{5}.\frac{15}{7}+\frac{23}{7}\)
\(=\frac{-9}{7}+\frac{23}{7}=2\)
a. ta có :
\(\frac{1}{2}-\frac{1}{10}+\frac{7}{5}=\frac{5-1+14}{10}=\frac{18}{10}=\frac{9}{5}\)
b. \(\left(8\frac{6}{7}-5\frac{6}{7}\right)+2\frac{3}{5}=3+2\frac{3}{5}=5\frac{3}{5}\)
c.\(-\frac{6}{13}.\frac{3}{11}+\frac{-6}{13}.\frac{8}{11}+\frac{-7}{13}=-\frac{6}{13}.\left(\frac{3}{11}+\frac{8}{11}\right)+\frac{-7}{13}=-\frac{6}{13}+\frac{-7}{13}=-1\)