x^-3/2=8

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Solution for x^-3/2=8 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^-3)/2 = 8 // - 8

(x^-3)/2-8 = 0

1/2*x^-3 = 8 // : 1/2

x^-3 = 16

-3 < 0

1/(x^3) = 16 // * x^3

1 = 16*x^3 // : 16

1/16 = x^3

x^3 = 1/16 // ^ 1/3

x = (1/16)^(1/3)

x = (1/16)^(1/3)

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