# Remainder theorem

1. May 10, 2005

### mathelord

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

2. May 10, 2005

### dextercioby

I think it's called Bézout's theorem (you may wanna 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.

3. May 11, 2005

### 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