What is the remainder when x^X^x^x... is divided by x-700^(1/700)?

[mathelord]

whats the remainder when x^X^x^x... is divided by x-700^(1/700)
leaving answer in whole number

 

[dextercioby]

I think it's called Bézout's theorem (you may want to check it out in your textbook,though;it's been a while since i graduated h-s).I have a hunch that,even though the first "polynomial" (the power tower) is infinite,the remainder will be power tower of 700^{\frac{1}{700}},which is a number.

But of course,it doesn't make any sense,this "remainder" cannot be checked upon,because you can't do an infinity of divisions.

Daniel.

 

[abia ubong]

but my teacher gave us the problem,and said we should leave the answer in whole number not exponent.i guess abia must have posted series of these questions in other forms.so i still need help with it.i know the remainder is in the form (700^1/700)^(700^1/700)...
but it should be a number