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Mathematics 9 Online
sillybilly123:

Which is greater?!

sillybilly123:

\(2^{36}\) or \(3^{24}\)?? no calculators allowed, obviously :-)

Zarkon:

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

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