x^(-2/7)=3

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Solution for x^(-2/7)=3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/7) = 3 // - 3

x^(-2/7)-3 = 0

1*x^(-2/7) = 3 // : 1

x^(-2/7) = 3

-2/7 < 0

1/(x^(2/7)) = 3 // * x^(2/7)

1 = 3*x^(2/7) // : 3

1/3 = x^(2/7)

x^(2/7) = 1/3 // ^ 7

x^2 = 1/2187 // ^ 1/2

abs(x) = (1/2187)^(1/2)

x = (1/2187)^(1/2) or x = -(1/2187)^(1/2)

x in { (1/2187)^(1/2), -(1/2187)^(1/2) }

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