x^-3/2=27/8

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Solution for x^-3/2=27/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

(x^-3)/2 = 27/8 // - 27/8

(x^-3)/2-(27/8) = 0

(x^-3)/2-27/8 = 0

1/2*x^-3 = 27/8 // : 1/2

x^-3 = 27/4

-3 < 0

1/(x^3) = 27/4 // * x^3

1 = 27/4*x^3 // : 27/4

4/27 = x^3

x^3 = 4/27 // ^ 1/3

x = (4/27)^(1/3)

x = (4/27)^(1/3)

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