65536= 4^8------( how can i find the base and power for a number.)
Now, if I am randomly given a number. Say, 4096 and I need to find a common base having some power. I mean a^n. Where a is the base and n is its power. So, accordingly answer for above number shall be 8^4.
Can you please give me some trick to find such bases and powers for a given number condition- Not to use factorization method or something which could be time consuming.