((x^8y^-4)/(16^(4/3)))^(-1/4)

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Solution for ((x^8y^-4)/(16^(4/3)))^(-1/4) equation:


D( x )

(x^8*y^-4)/(16^(4/3)) = 0

16^(4/3) = 0

(x^8*y^-4)/(16^(4/3)) < 0

(x^8*y^-4)/(16^(4/3)) = 0

(x^8*y^-4)/(16^(4/3)) = 0

(1/(16^(4/3)))*x^8*y^-4 = 0 // : (1/(16^(4/3)))*y^-4

x^8 = 0

x = 0

16^(4/3) = 0

16^(4/3) = 0

16^(4/3) = 0

x belongs to the empty set

(x^8*y^-4)/(16^(4/3)) < 0

(x^8*y^-4)/(16^(4/3)) < 0

(x^8*y^-4)/(16^(4/3)) = 0

(1/(16^(4/3)))*x^8*y^-4 = 0 // : (1/(16^(4/3)))*y^-4

x^8 = 0

x = 0

x < 0

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

x in (0:+oo)

((x^8*y^-4)/(16^(4/3)))^(-1/4) = 0

2*2^(1/3)*x^-2*y = 0 // : 2*2^(1/3)*y

x^-2 = 0

x należy do O

x belongs to the empty set

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