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March 4th, 2014, 04:31 AM   #1
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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
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March 4th, 2014, 05:00 AM   #2
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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, .
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March 4th, 2014, 05:55 AM   #3
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Re: Integer Exponent Problem

Thank you so much!!!
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March 4th, 2014, 09:24 AM   #4
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