A = 1030 = (103)10 = 100010
B = 2100 = (210)10 = 102410
Vì 100010 < 102410 nên A < B
ta có : \(A=10^{30}=\left(10^3\right)^{10}=1000^{10}\)
\(B=2^{100}=\left(2^{10}\right)^{10}=1024^{10}\)
vì \(1000^{10}< 1024^{10}\Rightarrow A< B\)
A=1030=103*10=(103)10=100010
B=2100=210*10=(210)10=102410
Vì 1000<1024 nên 100010<102410 hay A<B
Vậy A<B