4x^(-2/3)=16

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Solution for 4x^(-2/3)=16 equation:


D( x )

x = 0

x = 0

x = 0

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

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

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

4*x^(-2/3) = 16 // : 4

x^(-2/3) = 4

-2/3 < 0

1/(x^(2/3)) = 4 // * x^(2/3)

1 = 4*x^(2/3) // : 4

1/4 = x^(2/3)

x^(2/3) = 1/4 // ^ 3

x^2 = 1/64 // ^ 1/2

abs(x) = 1/8

x = 1/8 or x = -1/8

x in { 1/8, -1/8 }

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