Question

Which is greater?!

Answer 1

\(2^{36}\) or \(3^{24}\)??

no calculators allowed, obviously :-)

Answer 2

36=3*12
24=2*12

\[2^{36}=2^{3\cdot 12}=\left(2^3\right)^{12}=8^{12}\]
\[3^{24}=3^{2\cdot12}=\left(3^3\right)^{12}=9^{12}\]