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Question: How to extract the division part

Question:How to extract the division part

ComputerUser 535
January 21 2014
1

f := x1^2/((x2^3)*(x3^2));

would like to extract 1/x2 from 1/(x2^3) and 1/x3 from 1/(x3^2)

and then assign 1/x2 to x2b and assign 1/x3 to x3b

and then replace 1/(x2^3) with x2b^3 and 1/(x3^2) with x3b^2 in f

 

only in this example has x2 and x3, in real case, it is unknown how many variables all division part

how to automatically to do above for equations with division

 
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