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if m is an integer such that (-2)^2m=2^(9-m) then m=?

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if m is an integer such that (-2)^2m=2^(9-m) then m=?  [#permalink] New post 22 Oct 2003, 18:57
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if m is an integer such that (-2)^2m=2^(9-m) then m=?

Answer is 3.
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 [#permalink] New post 23 Oct 2003, 06:22
(-2)^(2m) = 4^m
and
2^(9-m) = 4^((9-m)/2)

Therefore,
m = (9-m)/2
2m = 9 - m
m = 3
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 [#permalink] New post 23 Oct 2003, 15:13
Hi Preyshi,

While posting a question, can you psot the question without answer? So that people will have chance to work on the problem?

Of course, it would be great if you can post the answer later after 1 or 2 people have tried the question. This way everybody can get the confirmation on answer.

Thanks
  [#permalink] 23 Oct 2003, 15:13
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if m is an integer such that (-2)^2m=2^(9-m) then m=?

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