Find the ones digit of \(22^{22(11^{11})}.\)
If it is: 22^(22*(11^11)) mod 10^20 =81,356,903,237,166,301,184 - These are the last 20 digits.
If it is: 22^(22^(11^11)) mod 10^20 =76,852,909,220,939,431,936 - These are the last 20 digits.