Which is greater: $2^{40}$ or $4^{19}$?
Which is greater: $2^{40}$ or $4^{19}$?
- $2^{40}$
- $4^{19}$
- Equal
- Cannot say
Solution
$4^{19} = (2^{2})^{19} = 2^{38}$. Since $40 > 38$, $2^{40} > 4^{19}$.
Asked in: IMO
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