((162x^5)^(1/4))/(2x)^1/4

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Solution for ((162x^5)^(1/4))/(2x)^1/4 equation: 


D( x )

162*x^5 < 0

(2*x)^1 = 0

162*x^5 < 0

162*x^5 < 0

162*x^5 < 0

162*x^5 < 0 // : 162

x^5 < 0/162

x^5 < 0

x^5 < 0 // ^ 1/5

x < 0

x in (-oo:0)

(2*x)^1 = 0

(2*x)^1 = 0

2*x = 0

2*x = 0 // : 2

x = 0

x in (0:+oo)

(((162*x^5)^(1/4))/((2*x)^1))/4 = 0

(((162*x^5)^(1/4))/(2*x))/4 = 0

((3*2^(1/4))/8)*x^(1/4) = 0 // : (3*2^(1/4))/8

x^(1/4) = 0

x = 0

x in { 0} 

x belongs to the empty set

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