x^(-2/5)=1/16

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Solution for x^(-2/5)=1/16 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-2/5) = 1/16 // - 1/16

x^(-2/5)-(1/16) = 0

x^(-2/5)-1/16 = 0

1*x^(-2/5) = 1/16 // : 1

x^(-2/5) = 1/16

-2/5 < 0

1/(x^(2/5)) = 1/16 // * x^(2/5)

1 = 1/16*x^(2/5) // : 1/16

16 = x^(2/5)

x^(2/5) = 16 // ^ 5

x^2 = 1048576 // ^ 1/2

abs(x) = 1024

x = 1024 or x = -1024

x in { 1024, -1024 }

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