x^-4/5=16

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Solution for x^-4/5=16 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

1/5*x^-4 = 16 // : 1/5

x^-4 = 80

-4 < 0

1/(x^4) = 80 // * x^4

1 = 80*x^4 // : 80

1/80 = x^4

x^4 = 1/80 // ^ 1/4

abs(x) = (1/80)^(1/4)

x = (1/80)^(1/4) or x = -(1/80)^(1/4)

x in { (1/80)^(1/4), -(1/80)^(1/4) }

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