"Sylvia Else" <email@example.com> wrote in message news:aeolaqFm67lU1@mid.individual.net... > On 23/10/2012 12:31 PM, RichD wrote: > > I saw this posed as an interview question: > > > > (usual exponent notation) > > What are the last 3 digits of 171 ^ 172? > > > > Presumably, one is given pen and paper. > > > > Is there a trick here? The second digit isn't too tough, > > but the third is a lot of work. > > > > -- > > Rich > > > > This appears to originate from > > http://blog.brilliantscholars.com/2012/10/08/live-challenge-algebranumber-th eory-5/ > > Solutions similar to those that I and others have posted in this thread > are given there, but the original post implies that there's a single > line solution. If there is, I can't see it. > > I have noted that 171 = 900 - 9^3, which looks a bit interesting, but I > haven't been able to make anything of it in the sense of achieving a > one-line answer. > > Sylvia.
Well, perhaps: (dropping all multiples of 1000 as in your other posts)