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Bài làm:
Ta có: \(\frac{7.6^{10}.2^{20}.3^6-2^{19}.6^{15}}{9.6^{19}.2^9-4.3^{17}.2^{26}}\)
\(=\frac{7.2^{10}.3^{10}.2^{20}.3^6-2^{19}.2^{15}.3^{15}}{3^2.2^{19}.3^{19}.2^9-2^2.3^{17}.2^{26}}\)
\(=\frac{2^{30}.3^{16}.7-2^{34}.3^{15}}{2^{28}.3^{21}-2^{28}.3^{17}}\)
\(=\frac{2^{30}.3^{15}\left(3.7-2^4\right)}{2^{28}.3^{17}\left(3^4-1\right)}\)
\(=\frac{2^2\left(21-16\right)}{3^2\left(81-1\right)}\)
\(=\frac{2^2.5}{3^2.80}\)
\(=\frac{1}{36}\)

\(3\frac{14}{19}+\frac{13}{17}+\frac{35}{43}+6\)
\(=\frac{71}{19}+\frac{13}{17}+\frac{35}{43}+6\)
\(=\frac{51901}{13889}+\frac{10621}{13889}+\frac{11305}{13889}+\frac{83334}{13889}\)
\(=\frac{51901+10621+11305+83334}{13889}\)
\(=\frac{157161}{13889}=11,31550148\)

\(\frac{19}{2}+\frac{6}{8}.\frac{2}{3}:\left(1-\frac{3}{2}\right)\)
\(=\frac{19}{2}+\frac{6}{8}.\frac{2}{3}:\frac{-1}{2}\)
\(=\frac{19}{2}+\frac{1}{2}:\frac{-1}{2}\)
\(=\frac{19}{2}+\left(-1\right)\)
\(=\frac{19}{2}-\frac{-2}{2}\)
\(=\frac{17}{2}\)

minh lam hoi tat
\(\frac{2^{19}.\left(3^3\right)^3+3.5.\left(2^2\right)^9.\left(3^3\right)^4}{\left(2.3\right)^9.2^{10}+\left(8.9\right)^{10}}=\frac{2^{19}.3^9+5.2^{18}.3^9}{2^{19}.3^9+2^{30}.3^{20}}=\frac{2^{18}.3^9.\left(2+5\right)}{2^{18}.3^9.\left(2^{12}+3^{11}\right)}=\frac{7}{2^{12}+3^{11}}\)
Tìm x biết:
a) (15 × 19 – x – 0,15):0,25 = 15 : 0,25
b)\(2\frac{2}{3}-x=\frac{1}{3}\cdot\frac{6}{2}\)

a) (15 x 19 - x - 0,15) : 0,25 = 15 : 0,15
(285 - x - 0,15) : 0,25 = 60
(285 - x - 0,25) = 60 : 0,25
( 285 - x - 0,25) = 15
285 - x = 15 + 0,25
285 - x = 15,25
x = 285 - 15,25
x = 269,75

8/19 × 5/11 + 8/19 × 6/11 + 11/19
= 8/19 × (5/11 + 6/11) + 11/19
= 8/19 × 1 + 11/19
= 8/19 + 11/19
= 1
Ủng hộ mk nha ♡_♡
1/3 nha :>
\(\frac{19}{6}-3=\frac{19}{6}-\frac{18}{6}=\frac{19-18}{6}=\frac16\)