a) \(3^{60}=\left(3^3\right)^{20}=27^{20}\) ; \(5^{40}=\left(5^2\right)^{20}=25^{20}\)
Vì 27 > 25 nên 360 > 540
b) \(17.6^{17}=17.\left(3.2\right)^{17}=17.3^{17}.2^{17}\) ; \(3^{19}.2^{18}=\left(3^{17}.3^2\right).\left(2^{17}.2\right)=3^2.2.3^{17}.2^{17}=18.3^{17}.2^{17}\)
Vfi 17 < 18 nên 17.617 < 319 . 218
c) \(10^{39}=\left(10^3\right)^{13}=1000^{13}\) ; \(4^{65}=\left(4^5\right)^{13}=1024^{13}\)