\(2^{101}< 2^{100}\Leftrightarrow\left(2^5\right)^{20}=32^{20}\)
\(5^{39}< 5^{40}\Leftrightarrow\left(5^2\right)^{20}=25^{20}\)
Ta thấy: \(32^{20}>25^{20}\)
\(\Rightarrow2^{101}>5^{39}\)
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