Ta có
\(2^{30}=\left(2^3\right)^{10}=8^{10}\)
\(3^{20}=\left(3^2\right)^{10}=9^{10}\)
Vì 8 < 9 hay \(8^{10}< 9^{10}\)nên \(2^{30}< 3^{20}\)
Ta có:
\(2^{30}=\left(2^3\right)^{10}=8^{10}\)
\(3^{20}=\left(3^2\right)^{10}=9^{10}\)
Vì 8 < 9 \(\Rightarrow8^{10}< 9^{10}\)
\(\Rightarrow2^{30}< 3^{20}\)
Ta có
2^30=(2^3)^10=8^10
3^20=(3^2)^10=9^10
Vì 8^10,9^10 nên 2^30<3^20
\(2^{30}=\)1073741824
\(3^{20}=\)3486784401
=>2^30<3^20
2^30= 2^3.10=8^10 *
3^20= 3^2.10=9^10 **
(*), (**)=> 8^10 < 9^10 => 2^30<3^20