Problem solving

Please help me solve comparison question:
A =98^98+99^99
B=100^100

for B = 100^100 = 10^200

for A consider 98 and 99 = 100 (approx.)
then, A = 100^98 + 100^99 = 10^196 (100+1) = 10^198 (approx.)

So, B > A