On Saturday, September 14, 2013 5:43:22 AM UTC-4, Jean Dubois wrote: > when a succession of powers like e.g. a^b^c is written > > should this be interpreted as: > > 1. (a^b)^c > > or as > > 2. a^(b^c) > > Which a logical reason is there to chose one or the other? > > and how about the interpretation of: > > a^b^c^d > > how to interprete this using brackets? >
I think most calculators have a^b^c = (a^b)^c. Super-scripting, on the other hand, is really a form of implicit bracketing -- higher levels have higher precedence.
b+c a = a^(b+c) =/= a^b+c (I hope the spacing isn't messed up!)