x^(5)*(((x^(5)/5)^(1/4))/x)=16

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Solution for x^(5)*(((x^(5)/5)^(1/4))/x)=16 equation: 


D( x )

(x^5)/5 < 0

x = 0

(x^5)/5 < 0

(x^5)/5 < 0

1/5*x^5 < 0

1/5*x^5 < 0 // : 1/5

x^5 < 0/1/5

x^5 < 0

x^5 < 0 // ^ 1/5

x < 0

x in (-oo:0)

x = 0

x = 0

x in (0:+oo)

((((x^5)/5)^(1/4))/x)*x^5 = 16 // - 16

((((x^5)/5)^(1/4))/x)*x^5-16 = 0

(1/5)^(1/4)*x^(21/4) = 16 // : (1/5)^(1/4)

x^(21/4) = 16/((1/5)^(1/4))

x^(21/4) = 16/((1/5)^(1/4)) // ^ 4

x^21 = 327680 // ^ 1/21

x = 327680^(1/21)

x = 327680^(1/21)

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