x^(-2/3)=4/9

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Solution for x^(-2/3)=4/9 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/3) = 4/9 // - 4/9

x^(-2/3)-(4/9) = 0

x^(-2/3)-4/9 = 0

1*x^(-2/3) = 4/9 // : 1

x^(-2/3) = 4/9

-2/3 < 0

1/(x^(2/3)) = 4/9 // * x^(2/3)

1 = 4/9*x^(2/3) // : 4/9

9/4 = x^(2/3)

x^(2/3) = 9/4 // ^ 3

x^2 = 729/64 // ^ 1/2

abs(x) = 27/8

x = 27/8 or x = -27/8

x in { 27/8, -27/8 }

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