19920 = ( 1994 )5
200315 = ( 20033 )5
Mà ( 1994 )5 < ( 20033 )5
Vậy 19920 < 200315
Ta có : \(199^{20}< 200^{20}=\left(8.25\right)^{20}=\left(2^35^2\right)^{20}=2^{60}.5^{40}\)
\(2003^{15}>2000^{15}=\left(16.125\right)^{15}=\left(2^45^3\right)^{15}=2^{60}.5^{45}\)
Vì \(2^{60}.5^{40}< 2^{60}.5^{45}\Rightarrow199^{20}< 2003^{15}\)
Chúc bn học tốt nha
19920 < 20020 = ( 25 . 8 )20 = ( 52 . 23 )20 = 540 . 260
200315 > 200015 = ( 125 . 16 )15 = ( 53 . 24 )15 = 545 . 260
Mà 540 . 260 < 545 . 260
Vậy 19920 < 200315
19920 < 20020 = ( 25 . 8 )20 = ( 52 . 23 )20 = 540 . 260
200315 > 200015 = ( 125 . 16 )15 = ( 53 . 24 )15 = 545 . 260
Mà 540 . 260 < 545 . 260
Vậy 19920 < 200315
