Question

[Long]

5.4¹⁵-9⁹-4.3²⁰.8⁹

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5.2⁹.6¹⁹-7.2²⁹.27⁶

Answer 1

[Vacija]

Đề bài sai ak bn : 

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

\(=\frac{5.\left(2^2\right)^{15}.\left(3^2\right)^9-2^2.3^{20}.\left(2^3\right)^9}{5.2^9.\left(2.3\right)^{19}-7.2^{29}.\left(3^3\right)^6}\)

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

\(=\frac{2^{29}.3^{18}.\left(5.2-3^2\right)}{2^{28}.3^{18}.\left(5.3-7.2\right)}=\frac{2^{29}.3^{18}.1}{2^{28}.3^{18}.1}=\frac{2^{29}}{2^{28}}=2\)