Question

so sánh lũy thừa sau :

\(^{22^{33}}\) và  \(33^{22}\)

Answer 1

22³³ < 33²²

Học tốt!!!

Answer 2

\(22^{33}>33^{22}\)

Answer 3

Ta có:

 \(22^{33}=\left(2.11\right)^{33}=2^{33}.11^{33}=2^{3^{11}}.11^{22}.11^{11}=8^{11}.11^{22}.11^{11}\)

\(33^{22}=\left(3.11\right)^{22}=3^{22}.11^{22}=3^{2^{11}}.11^{22}=9^{11}.11^{22}\)

Ta thấy: \(11^{11}>9^{11}\)

Vậy \(22^{33}>33^{22}\)

Hok tốt ~~~