User blog comment:DrCeasium/new hyperfactorial array notation/@comment-5150073-20130416230152

In your first part of site you wrote that (10^(10^197))^(2.33*10^63) is approximately 10^10^10^10^64. It is wrong however, be aware that when you raise one power tower to another, their heights not always should be added. In your expression, we can use the fact that (a^b)^c = a^(b*c). Then (10^(10^197))^(2.33*10^63) = 10^(10^197*2.33*10^64) < 10^(10^197*10^65) = 10^(10^262). That's certainly not 10^10^10^10^64.