Weekly discussion on the NPR puzzler, brain teasers, math problems and more.
Q: How many zeroes are there in googol^googol
(googol to the "googol-th" power)?
One hundred googol zeros.
Eric is right. To figure the number of zeroes, just take the common log:log(googol^googol)Use this rule: log(a^b) = b log(a)= googol * log(googol)= googol * log(10^100)Use the rule again:= googol * 100 * log(10)Finally log(10) is simply 1:= 100 googol * 1= 100 googolAnswer:One hundred googol zeroes