\(\frac{6^2}{5\cdot7}\cdot\frac{7^2}{6\cdot8}\cdot\frac{8^2}{7\cdot9}\cdot\frac{9^2}{8\cdot10}\)

=\(\frac{6\cdot6}{5\cdot7}\cdot\frac{7\cdot7}{6\cdot8}\cdot\frac{8\cdot8}{7\cdot9}\cdot\frac{9\cdot9}{8\cdot10}\)

=\(\frac{6\cdot7\cdot8\cdot9}{5\cdot6\cdot7\cdot8}\cdot\frac{6\cdot7\cdot8\cdot9}{7\cdot8\cdot9\cdot10}\)

=\(\frac{9}{5}\cdot\frac{3}{5}\)=\(\frac{27}{25}\)

**** MIK

\(=\frac{6.6}{5.7}.\frac{7.7}{6.8}.\frac{8.8}{7.9}.\frac{9.9}{8.10}\)

\(=\frac{6.6.7.7.8.8.9.9}{5.6.7.8.9.10.8.7}\)

\(=\frac{27}{25}\)

bài này không khó. Nhưng đánh máy để giải cho bạn thì thực sự khó

\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^9.6^{19}-7.2^{29}.27^6}\)=2

bạn lm hẳn ra ý

\(\frac{2^7.9^3}{6^5.8^2}=\frac{93312}{497664}=\frac{3}{16}\)

Tk cho mk nhé bạn

Rút gọn luôn bằng 3/16

\(\frac{2^7.9^3}{6^5.8^2}\)

\(=\frac{2^7.3^6}{2^5.3^5.2^6}\)

\(=\frac{2^7.3^6}{2^{11}.3^5}\)

\(=\frac{3}{2^4}\)

\(=\frac{3}{16}\)

\(\frac{5.4^{15}.9^9-4.3^{20}.8^9}{5.2^{10}.6^{19}-7.2^{29}.27^6}\)

\(=\frac{5.2^{30}.3^{18}-2^2.3^{20}.2^{27}}{5.2^{10}.2^{19}.3^{19}-7.2^{29}.3^{18}}\)

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

\(=\frac{2^{29}.3^{18}\left(5.2-3^2\right)}{2^{29}.3^{18}\left(5.3-7\right)}\)

\(=\frac{10-9}{15-7}\)

\(=\frac{1}{8}\)

\(\frac{-283}{16}\)

Tik cho mk nha.............cảm ơn rất nhiều