perplexus.info :: Just Math : Power Division

Power Division (Posted on 2011-04-19)

Given that n is a positive integer, determine the remainder (in terms of n) whenever 3^(2^n) – 1 is divided by 2^(n+3)

Note: (a)^b implies 'a' raised to the power of 'b', ((a)^b)^c implies 'a' raised to the power 'bc', but a^(b^c) implies 'a' raised to the power 'b' raised to the power 'c'

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The required remainder is 2^(n+2).
For an explanation, refer to the solution submitted by broll in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Power Division	Ben Gornall	2011-04-20 13:50:50
Possible solution	broll	2011-04-19 13:24:34

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