\(9^{20}=\left(3^2\right)^{20}=3^{40}\)
\(27^{13}=\left(3^3\right)^{13}=3^{39}\)
Vì\(3^{40}>3^{39}\Rightarrow9^{20}>27^{13}\)
CHÚC BẠN HỌC TỐT !!!
Ta có :
\(9^{20}=\left(3^2\right)^{20}=3^{2.20}=3^{40}\)
\(27^{13}=\left(3^3\right)^{13}=3^{3.13}=3^{39}\)
Vì \(3^{39}< 3^{40}\Rightarrow27^{13}< 9^{20}\)
Ta có :
\(9^{20}\)= \(\left(3^2\right)^{20}\)= \(3^{40}\)
\(27^{13}\)= \(\left(3^3\right)^{13}\)= \(3^{39}\)
Vì \(3^{40}\)> \(3^{39}\)
Nên \(9^{20}\)> \(27^{13}\)