x^(-2/3)=16

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Solution for x^(-2/3)=16 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/3) = 16 // - 16

x^(-2/3)-16 = 0

1*x^(-2/3) = 16 // : 1

x^(-2/3) = 16

-2/3 < 0

1/(x^(2/3)) = 16 // * x^(2/3)

1 = 16*x^(2/3) // : 16

1/16 = x^(2/3)

x^(2/3) = 1/16 // ^ 3

x^2 = 1/4096 // ^ 1/2

abs(x) = 1/64

x = 1/64 or x = -1/64

x in { 1/64, -1/64 }

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