A = 1030 = 103.10 = 100010
B = 2100 = 210.10 = 102410
=> A < B
Ta co : A=1030 & B=2100
\(\Rightarrow A=10^{30}=\left(10^3\right)^{10}=1000^{10}\)
\(B=2^{100}=\left(2^{10}\right)^{10}=1024^{10}\)
Vi :100010 < 1024 10
Vay : A=1030 < B= 2100
1030=(103)10=100010
2100=(210)10=102410
Vì 100010<102410
=> 1030<2100