\(2^{60}=\left(2^3\right)^{20}=8^{20}\)
\(3^{40}=\left(3^2\right)^{20}=9^{20}\)
\(8^{20}< 9^{20}\Leftrightarrow2^{60}< 3^{40}\)
Ta có:
260=820
340=920
Vì 820<920 nên 260<340
Ta có :
260 = 1,152921505 x 1018
340 = 1,215766546 x 1019
Vì 1,152921505 x 1018 < 1,215766546 x 1019
nên 260 < 340
Ta có :
\(2^{60}=\left(2^3\right)^{20}=8^{20}\)
\(3^{40}=\left(3^2\right)^{20}=9^{20}\)
Vì \(8^{20}< 9^{20}\Leftrightarrow2^{60}< 3^{40}\)
Ta có:
\(2^{60}\) \(=\) \(8^{20}\)
\(3^{40}\) \(=\) \(9^{20}\)
Vì \(8^{20}\) \(< \) \(9^{20}\)
nên \(\Rightarrow\) \(2^{60}\) < \(3^{40}\)