SOLUTION: (6x)^-1/ (3x^2)^-2 answer: 3x^3/2 anyone knows why the answer is 3x^3/2 showing definitions and rules for exponents i got as far as (3x^2)^2/ (6x) negative to positiv

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (6x)^-1/ (3x^2)^-2 answer: 3x^3/2 anyone knows why the answer is 3x^3/2 showing definitions and rules for exponents i got as far as (3x^2)^2/ (6x) negative to positiv      Log On


   



Question 219873: (6x)^-1/ (3x^2)^-2
answer: 3x^3/2


anyone knows why the answer is 3x^3/2 showing definitions and rules for exponents i got as far as (3x^2)^2/ (6x) negative to positive rules then i got stuck can anyone help

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(6x)^-1/ (3x^2)^-2
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Apply the negative in the exponents to get:
(3x^2)^2/(6x)
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Then:
=(9x^4)/(6x)
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Then:
= (3x^3)/2
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Cheers,
Stan H.