(x^(-3/2))=1/729

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Solution for (x^(-3/2))=1/729 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

x^(-3/2) = 1/729 // - 1/729

x^(-3/2)-(1/729) = 0

x^(-3/2)-1/729 = 0

1*x^(-3/2) = 1/729 // : 1

x^(-3/2) = 1/729

-3/2 < 0

1/(x^(3/2)) = 1/729 // * x^(3/2)

1 = 1/729*x^(3/2) // : 1/729

729 = x^(3/2)

x^(3/2) = 729 // ^ 2

x^3 = 531441 // ^ 1/3

x = 81

x = 81

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