Question 1155378

which of the following powers is greater

{{{20^100}}} OR {{{400^40}}}

I see that {{{20^100}}} is greater.

explanation: 

first I noticed that {{{400}}} is {{{20^2}}}, then  {{{400^40}}} is same as {{{(20^2)^40=20^80}}}

so, comparing exponents, {{{100}}} is greater than {{{80}}}