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a) 378
b) 3
c) 2
d) 2
e) \(\frac{8748}{1715}\)
Mình thấy bài e) bạn có ghi thiếu ko vậy.81^2 x;: hay là cộng trừ vậy?
![](https://rs.olm.vn/images/avt/0.png?1311)
1/ \(\frac{9.5^{20}.27^9-3.9^{15}.25^9}{7.3^{29}.125^6-3.3^9.15^{19}}\)
\(=\frac{5^{20}.3^{29}-3^{31}.5^{18}}{7.3^{29}.5^{18}-3^{29}.5^{19}}=\frac{3^{29}.5^{18}.\left(25-9\right)}{3^{29}.5^{18}.\left(7-5\right)}=\frac{16}{2}=8\)
CÁC BÀI CÒN LẠI TƯƠNG TỰ HẾT NHÉ E
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=\frac{7.6^{10}.2^{20}.3^6-2^{18}.6^{15}}{9.6^{19}.2^9-4.3^{17}.2^{26}}=\frac{7.\left(2.3\right)^{10}.2^{20}.3^6-2^{18}.\left(2.3\right)^{15}}{3^2.\left(2.3\right)^{19}.2^9-2^2.3^{17}.2^{26}}\)
\(=\frac{7.2^{10}.3^{10}.2^{20}.3^6-2^{18}.2^{15}.3^{15}}{3^2.2^{19}.3^{19}.2^9-2^2.3^{17}.2^{26}}\)
\(=\frac{7.2^{30}.3^{16}-2^{33}.3^{15}}{2^{28}.3^{21}-2^{28}.3^{17}}\)
\(=\frac{2^{30}.3^{15}.\left(7.3-2^3\right)}{2^{28}.3^{17}.\left(3^4-1\right)}\)
\(=\frac{2^2.13}{3^2.80}=\frac{4.13}{9.80}=\frac{13}{180}\)
\(A=\frac{7\cdot2^{10}\cdot3^{10}\cdot2^{20}\cdot3^6-2^{18}\cdot2^{15}\cdot3^{15}}{3^2\cdot3^{19}\cdot2^{19}\cdot2^9-2^2\cdot3^{17}\cdot2^{26}}=\frac{7\cdot2^{30}\cdot3^{16}-2^{33}\cdot3^{15}}{3^{21}\cdot2^{28}-2^{28}\cdot3^{17}}\)
\(A=\frac{2^{30}\cdot3^{15}\left(7\cdot3-2^3\right)}{2^{28}\cdot3^{17}\left(3^4-1\right)}=\frac{2^{30}\cdot3^{15}\cdot13}{2^{28}\cdot3^{17}\cdot2^4\cdot5}=\frac{13}{2^2\cdot3^2\cdot5}=\frac{13}{180}\)
Chị ko bt có sai ko nx nếu có sai thông cảm chị nha
^-^
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\dfrac{-3}{25}\cdot\dfrac{4}{17}\cdot\dfrac{5}{-3}\cdot\dfrac{17}{2}=\dfrac{4}{17}\cdot\dfrac{17}{2}\cdot\dfrac{3}{25}\cdot\dfrac{5}{3}=2\cdot\dfrac{1}{5}=\dfrac{2}{5}\)
b: \(=-\dfrac{8}{15}\cdot\dfrac{13}{16}\cdot\dfrac{30}{13}=\dfrac{-8}{15}\cdot\dfrac{15}{8}=-1\)
c: \(=\dfrac{3}{11}\left(\dfrac{2}{9}\cdot\dfrac{-8}{33}+\dfrac{7}{9}\right)=\dfrac{3}{11}\cdot\dfrac{215}{297}=\dfrac{2015}{1089}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(d.\frac{2.5.13}{14.15}=\frac{2.5.13}{2.7.5}=\frac{13}{7}\)
\(e.\frac{9.6-9.3}{18}=\frac{9\left(6-3\right)}{9.2}=\frac{9.3}{9.2}=\frac{3}{2}\)
\(f.\frac{17.5-17.2}{3-20}=\frac{17\left(5-2\right)}{-17}=\frac{17.3}{-17}=-3\)
Thích chơi kiểu gạch này :v
d, \(\frac{2.5.13}{14.15}=\frac{2.5.13}{2.7.3.5}=\frac{13}{21}\)
e, \(\frac{9.6-9.3}{18}=\frac{54-27}{18}=\frac{27}{18}=\frac{3}{2}\)
f, \(\frac{17.5-17.2}{3-20}=\frac{17\left(5-2\right)}{-17}=\frac{17.3}{-17}=\frac{17.3}{-1.17}=\frac{3}{-1}=-3\)
`\(=\frac{5.5.4^{15}.9^9-2^9.6^{18}.6^2}{5.3.4^{12}.2.9^9.3-2^9.2^2.6^{18}.11}\)
\(=\frac{5.4^3-6^2}{3.2.3-2^2.11}\)
\(=\frac{320-36}{18-44}\)
\(=\frac{-284}{26}=\frac{-142}{13}\)
Gấp lắm ạ