Given that n⁵ = 133⁵ + 110⁵ + 84⁵ + 27⁵.
Find that value of n using only pen and paper.

(In reply to my way by Ady TZIDON)

The last digit of 5TH POWER OF ANY NUMBER IS ALWAYS
  the SAME AS  The last digit of THAT NUMBER.

I never knew this fact.  It does make the problem much easier. 

I also fixed my post. 

Posted by Jer on 2013-01-07 12:45:56