It's really confusing to say that googoltriplex is 10 to the power of itself googolplex times. When we say "a raised to itself b times," we usually mean "a tetrated to b" — even if technically this is wrong, it's standard informal terminology. I will change it to \(10 \downarrow\downarrow 10^{100}\). FB100Z • talk • contribs 21:52, April 24, 2013 (UTC)
Logically, "power of" means exponent, and "itself" means that exponent doesn't changes. a tetrated to b can be pronounced "power tower of a's with b terms high", it will be not wrong, since power tower must be solved from top to bottom. Ikosarakt1 (talk ^ contribs) 09:48, April 25, 2013 (UTC)