\(5^{300}=5^{20.15}=\left(5^{20}\right)^{15}=\text{95367431640625}^{15}\)
\(3^{345}=3^{23.15}=\left(3^{23}\right)^{15}=\text{94143178827}^{15}\)
Vì \(\text{95367431640625}>94143178827\)nên \(\text{95367431640625}^{15}>94143178827^{15}\)hay \(5^{300}>3^{345}\)
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