((4x^6)^3(4y^-8)^1/2)/((2x)^4(12y^3)^2)

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Solution for ((4x^6)^3(4y^-8)^1/2)/((2x)^4(12y^3)^2) equation: 


D( x )

(2*x)^4*(12*y^3)^2 = 0

(2*x)^4*(12*y^3)^2 = 0

(2*x)^4*(12*y^3)^2 = 0

2304*x^4*y^6 = 0 // : 2304*y^6

x^4 = 0

x = 0

x in (-oo:0) U (0:+oo)

(((4*x^6)^3*(4*y^-8)^1)/2)/((2*x)^4*(12*y^3)^2) = 0

((4*(4*x^6)^3*y^-8)/2)/((2*x)^4*(12*y^3)^2) = 0

1/18*x^14*y^-14 = 0 // : 1/18*y^-14

x^14 = 0

x = 0

x in { 0} 

x belongs to the empty set

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