x^(-2/3)=25

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Solution for x^(-2/3)=25 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/3) = 25 // - 25

x^(-2/3)-25 = 0

1*x^(-2/3) = 25 // : 1

x^(-2/3) = 25

-2/3 < 0

1/(x^(2/3)) = 25 // * x^(2/3)

1 = 25*x^(2/3) // : 25

1/25 = x^(2/3)

x^(2/3) = 1/25 // ^ 3

x^2 = 1/15625 // ^ 1/2

abs(x) = 1/125

x = 1/125 or x = -1/125

x in { 1/125, -1/125 }

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