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Number Theory Level 1

( ( ( 201 4 2013 ) 2012 ) . . . ) = X \huge (((2014^{2013)^{2012)^{...)}}}= X

What is X ?

Details
All the exponents (in the ...) are positive, except one number. That number is not negative.


The answer is 1.

Dan Tsaranou by Dan Tsaranou , 21, France

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1 solution

Dan Tsaranou
Apr 15, 2015

Every number who his exponent finish by 0, the answer is 1. Here, the last number is 0, solution is 1.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

An integer is positive if it is greater than zero and negative if it is less than zero. Zero is defined as neither negative nor positive.

what about 3^2^1^0 ---> this = 9 not 1

Ossama Ismail - 6 years, 2 months ago

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