So sánh 77 33 và 3377

\(77^{33}=\left(11.7\right)^{33}=11^{33}.7^{33}=11^{33}.\left(7^3\right)^{11}=11^{33}.343\left(1\right)\) \(33^{77}=\left(3.11\right)^{77}=3^{77}.11^{77}=\left(3^7\right)^{11}.11^{77}=2187^{11}.11^{77}\left(2\right)\) Từ \(\left(1\right)+\left(2\right)\Leftrightarrow33^{77}>77^{33}\)Câu trả lời: \(77^{33}=\left(11.7\right)^{33}=11^{33}.7^{33}=11^{33}.\left(7^3\right)^{11}=11^{33}.343\left(1\right)\) \(33^{77}=\left(3.11\right)^{77}=3^{77}.11^{77}=\left(3^7\right)^{11}.11^{77}=2187^{11}.11^{77}\left(2\right)\) Từ \(\left(1\right)+\left(2\right)\Leftrightarrow33^{77}>77^{33}\)