SOLUTION: Simplify: (3x)^-2 / (3x)^-3

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Question 160281: Simplify: (3x)^-2 / (3x)^-3
Answer by gonzo(654) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify: %283x%29%5E-2+%2F+%283x%29%5E-3
3%2Ax%5E-2 is the same as 3%2F%28x%5E2%29
3%2Ax%5E-3 is the same as 3%2F%28x%5E3%29
your original equation then becomes %283%2F%28x%5E2%29%29%2F%283%2F%28x%5E3%29%29
in order to remove the denominator, multiply numerator and denominator of the equation by x%5E3%2F3
equation becomes %28%28x%5E3%2F3%29+%2A+%283%2Fx%5E2%29%29%2F%28%28x%5E3%2F3%29%2A%283%2Fx%5E3%29%29
denominator cancels out and equation becomes %28%28x%5E3%2F3%29+%2A+%283%2Fx%5E2%29%29
the 3's cancel out and the equation becomes x%5E3%2Fx%5E2 which becomes x%5E%283-2%29 which becomes x%5E1 which becomes x.
answer is x