((x^-4y^9z^0)/(x^12y^-3))^-3

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Solution for ((x^-4y^9z^0)/(x^12y^-3))^-3 equation: 


D( x )

x = 0

(z^0*x^-4*y^9)/(x^12*y^-3) = 0

x^12*y^-3 = 0

x = 0

x = 0

(z^0*x^-4*y^9)/(x^12*y^-3) = 0

(z^0*x^-4*y^9)/(x^12*y^-3) = 0

(x^-4*y^9)/(x^12*y^-3) = 0

x^-16*y^12 = 0 // : y^12

x^-16 = 0

x należy do O

x^12*y^-3 = 0

x^12*y^-3 = 0

x^12*y^-3 = 0 // : y^-3

x^12 = 0

x = 0

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

((z^0*x^-4*y^9)/(x^12*y^-3))^-3 = 0

((x^-4*y^9)/(x^12*y^-3))^-3 = 0

x^48*y^-36 = 0 // : y^-36

x^48 = 0

x = 0

x in { 0} 

x belongs to the empty set

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