Question

Comparati numerele:
a = 5 la puterea 18
b = 15 la puterea 12

Answer 1

$a= 5^{18}=5 ^{3*6} = (5^{3}) ^{6} =125^{6}. \\ b=15^{12}= 15^{2*6}=(15^{2})^{6}=225^6. \\ \\ 125\ \textless \ 225 \Rightarrow 125 ^6 \ \textless \ 225^6 \Leftrightarrow \boxed{a\ \textless \ b}.$