Ta có :
2100 = (25)20 = 3220
Vì 32 > 10 nên 3220 > 1020 hay 1020 < 2100
Ủng hộ mk nha !!! ^_^
2100 = (25)20 = 3220 > 1020
=> 2100 > 1020
\(10^{20}=10^{2^{10}}=100^{10}\)
\(2^{100}=2^{10^{10}}=1024^{10}\)
mà 100^10 < 1024^10
=> 10^20 < 2^100
\(10^{20}\)\(và\)\(2^{100}\)
\(Ta\)\(có:\)\(\left(10^2\right)^{10}\)\(và\)\(\left(2^{10}\right)^{10}\)
\(\Rightarrow100^{10}< 1024^{10}\Rightarrow10^{20}< 2^{100}\)