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GMAT Problem Solving (PS) | Re: If m is an integer such that (-2)^2m=2^(9-m) then m=?

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Anamika2014 wrote:

christian1904 wrote:
Hi Bunuel, hi other members,

first of all thanks a lot everybody who is and has been posting and answering questions here which is a great support to my preparation. I learned a lot from you guys.

Question on this one, I got answer D (4) and am not sure why exactly I'm wrong - could somebody comment? I calculated like this:

(-2)^2m = 2^9-m

<=> 4^m = 4^8-m

<=> m = 8-m

<=> m = 4


Thanks!

You made one small mistake2^{9-m} \ne 4^{8-m} .

2^{9-m} =\frac{2^9}{2^m} =\frac{2^{2 * 4.5}}{2^m}
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