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

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Solution for x^(-2/3)=1/16 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

x^(-2/3)-(1/16) = 0

x^(-2/3)-1/16 = 0

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

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

-2/3 < 0

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

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

16 = x^(2/3)

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

x^2 = 4096 // ^ 1/2

abs(x) = 64

x = 64 or x = -64

x in { 64, -64 }

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