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March 4th, 2014, 05:31 AM  #1 
Newbie Joined: Dec 2013 Posts: 22 Thanks: 2  Integer Exponent Problem
Hello, I've done this problem a number of times and can't seem to come to the correct answer. Here is the problem: (2^2+2^1+2^0)^2 According to WolframAlpha the solution is 16/49 but I always get 16/21. There must be a property or a rule that is missing somewhere. I uploaded an image of my work for the problem for reference. Any insight as to how to solve the problem to get the correct solution would be appreciated! Thanks, ~Kiphyl 
March 4th, 2014, 06:00 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Integer Exponent Problem
Your error is in the fourth line where has become . That is the fairly common error of thinking that . Instead do the addition before squaring: and squaring now gives . 1 over that is, of course, . 
March 4th, 2014, 06:55 AM  #3 
Newbie Joined: Dec 2013 Posts: 22 Thanks: 2  Re: Integer Exponent Problem
Thank you so much!!! 
March 4th, 2014, 10:24 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,308 Thanks: 1977  

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