SOLUTION: Find the value of x in the following equation (1/9)^m x (27)^-1=243

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Question 1185882: Find the value of x in the following equation
(1/9)^m x (27)^-1=243
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the value of x in the following equation
(1/9)^m x (27)^-1=243
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Not clear.
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Another tutor did some manipulations, but did not find the value of x.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The question is wrong.
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%281%2F3%29%5E%282m%29%2A%283%5E3%29%5E%28-1%29=3%5E5
%281%2F3%29%5E%282m%29%2A%281%2F3%5E3%29=3%5E5
%281%2F3%29%5E%282m%29=3%5E3%2A3%5E5
%281%2F3%29%5E%282m%29=3%5E8
%281%2F3%29%5E%282m%29=%281%2F3%29%5E%28-8%29
2m=-8---------------------m=-4