Ta có: 1/4 < (1+1)/(4+1) = 2/5

           3/6 < (3+1)/(6+1) = 4/7

                 .......................

           995/998 < (995+1)/(998+1) = 996/999

           997/1000 <(997+1)/(1000+1) =998/1001

 ( mk sửa đề 1 chút nha )

\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)

= \(\frac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^9.2^{19}.3^{19}-7.2^{29}.3^{18}}\)

= \(\frac{5.2^{30}.3^{18}-2^{29}.3^{20}}{5.2^{28}.3^{19}-7.2^{29}.3^{18}}\)

= \(\frac{2^{29}.3^{18}.\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}\)

= \(\frac{2.1}{1}\)

= 2

  Hok tốt 

( nhớ ủng hộ mk nha )

nếu sửa đề bài thì mk cho lên đây làm mô à

mai mik phải nộp rồi ạ   

Bài làm:

Ta có: \(\frac{7.6^{10}.2^{20}.3^6-2^{19}.6^{15}}{9.6^{19}.2^9-4.3^{17}.2^{26}}\)

\(=\frac{7.2^{10}.3^{10}.2^{20}.3^6-2^{19}.2^{15}.3^{15}}{3^2.2^{19}.3^{19}.2^9-2^2.3^{17}.2^{26}}\)

\(=\frac{2^{30}.3^{16}.7-2^{34}.3^{15}}{2^{28}.3^{21}-2^{28}.3^{17}}\)

\(=\frac{2^{30}.3^{15}\left(3.7-2^4\right)}{2^{28}.3^{17}\left(3^4-1\right)}\)

\(=\frac{2^2\left(21-16\right)}{3^2\left(81-1\right)}\)

\(=\frac{2^2.5}{3^2.80}\)

\(=\frac{1}{36}\)