x^(-3/2)=64

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Solution for x^(-3/2)=64 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

x^(-3/2) = 64 // - 64

x^(-3/2)-64 = 0

1*x^(-3/2) = 64 // : 1

x^(-3/2) = 64

-3/2 < 0

1/(x^(3/2)) = 64 // * x^(3/2)

1 = 64*x^(3/2) // : 64

1/64 = x^(3/2)

x^(3/2) = 1/64 // ^ 2

x^3 = 1/4096 // ^ 1/3

x = 1/16

x = 1/16

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