x^(-2/5)=1/6

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Solution for x^(-2/5)=1/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/5) = 1/6 // - 1/6

x^(-2/5)-(1/6) = 0

x^(-2/5)-1/6 = 0

1*x^(-2/5) = 1/6 // : 1

x^(-2/5) = 1/6

-2/5 < 0

1/(x^(2/5)) = 1/6 // * x^(2/5)

1 = 1/6*x^(2/5) // : 1/6

6 = x^(2/5)

x^(2/5) = 6 // ^ 5

x^2 = 7776 // ^ 1/2

abs(x) = 36*6^(1/2)

x = 36*6^(1/2) or x = -(36*6^(1/2))

x in { 36*6^(1/2), -(36*6^(1/2)) }

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