Question

[Nguyễn Văn Lợi]

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

Answer 1

[gia đình tôi]

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

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

\(=\frac{2^{28}.3^{18}.\left(5.2^2-3^2.2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}\)

\(=\frac{20-18}{15-14}\)

\(=\frac{2}{1}\)

\(=2\)