Question

So sánh: \(5^{255}\)và \(2^{579}\)

Answer 1

Ta có:

$5^{255 }= 5^{3.75}= 125^{75}$

$2^{579} > 2^{525}= 2^{7.75}= 128^{75}$

Như vậy: $2^{579} > 128^{75} > 125^{75}=5^{255 } $

Vậy $2^{579} > 5^{255 }$

Answer 2

\(5^{225}\) và \(2^{579}\)

\(5^{225}=\left(5^{75}\right)^3\)

\(2^{579}=\left(2^{193}\right)^3\)