SOLUTION: Please solve with steps (3/2) to the power of m/2 = 4/9

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Question 133283: Please solve with steps
(3/2) to the power of m/2 = 4/9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F2%29%5E%28m%2F2%29+=+4%2F9 Start with the given equation


%283%2F2%29%5E%28m%2F2%29+=+%283%2F2%29%5E%28-2%29 Rewrite 4%2F9 as %283%2F2%29%5E%28-2%29. Notice how 4%2F9=%283%2F2%29%5E%28-2%29


Since the bases are equal, this means that the exponents are equal. So


m%2F2=-2


m=-4 Multiply both sides by 2


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Answer:
So our answer is m=-4