\(11^{1979}< 11^{1980}=\left(11^3\right)^{660}=1331^{660}\)
\(37^{1320}=\left(37^2\right)^{660}=1369^{660}\)
Mà : \(1331^{660}< 1369^{660}\)
Vậy : \(11^{1979}< 37^{1321}\)
Ta có:
\(11^{1979}< 11^{1980}=\left(11^3\right)^{660}=1331^{660}\)
\(37^{1321}>37^{1320}=\left(37^2\right)^{660}=1369^{660}\)
Vì \(1331^{660}< 1369^{660}\) nên \(11^{1979}< 37^{1321}\)
Vậy \(11^{1979}< 37^{1321}\)
Có : 11^1979 < 12^1979 = (3.2.2)^1979 = 2^1979.6^1979 => 11^1979 < 2^1979 . 6^1979
37^1320 > 36^1320 = (6^2)^1320 = 6^2640 = 6^661.6^1979 => 6^661 . 6^1979 < 37^1320
=>11^1979 < 2^1979 . 6^1979 < 6^661 . 6^1979 < 37^1320
=> 11^1979 < 37^1320
chúc bn học tốt !!!!!
