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

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

x^-2 = 3/16

-2 < 0

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

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

16/3 = x^2

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

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

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

x in { (16/3)^(1/2), -(16/3)^(1/2) }

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