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
