[tex]\it \dfrac{a}{b} = \dfrac{10^{26}}{5^{39}}= \dfrac{10^{2\cdot13}}{5^{3\cdot13}} =\dfrac{(10^2)^{13}}{(5^3)^{13}} = \dfrac{100^{13}}{125^{13}}
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Dar,\ \ 100\ \textless \ 125 \Rightarrow 100^{13} \ \textless \ 125^{13} \Rightarrow \dfrac{100^{13}}{125^{13}} \ \textless \ 1 \Rightarrow \dfrac{a}{b} \ \textless \ 1 \Rightarrow a\ \textless \ b
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