Question 360610
the solution is in the attached picture.


explanation of the concept used in each step of the solution is listed below the picture.


<img src = "http://theo.x10hosting.com/problems/360610.jpg" alt = "picture not found .........................." />


step number 1 is the original problem as I understand it.


step number 2  uses the concept {{{(x^a*y^b)^c = x^(a*c)*y^(b*c)}}} to transform the expression in step 1 to to the expression in step 2.

step number 3 uses the concept {{{x^a / x^b = x^(a-b)}}} to transform the expression in step number 2 to the expression in step number 3.


step number 4 uses the concept {{{x^(-a) = 1/(x^a) }}} to transform the expression in step number 3 to the expression in step number 4.


step number 5 uses the concept {{{(1/x^a) * y^b = y^b / (x^a)}}} to transform the expression in step number 4 to the expression in step number 5.


step number 6 simplifies the expression in step number 5 to give you the final expression in step number 6.


I confirmed the answer was correct by substituting x = 2 and y = 3 into the original expression in step 1 and the final expression in step number 6.


The results were the same indicating that the transformation process was successful.


the final solution in both case was equal to -205.03125