Simplify expression and log

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Aug 30th, 2015

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(2x^3y^(3/2))^(-2) / (x^(-1/2)y²)^(-2) =  2^(-2)x^(-6)y^(-3) / xy^-4    because (2x^3)^-2=2^(-2)x^(3*(-2))=                                                                                                                                                                              =(1/4)x^(-6)

so :    2^(-2)x^(-6)y^(-3) / x^(1/2)y^4 = (1/(4x^6y^3)) / (x/y^4) =   y^4 / 4x^7y^3  = y/4x^7


so : 

(2x^3y^(3/2))^(-2) / (x^(-1/2)y²)^(-2) =  y/4x^7


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Aug 30th, 2015

Can you do the top question as well number 4. 

Aug 30th, 2015

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