x^(-3/5)=1/8

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Solution for x^(-3/5)=1/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^(-3/5) = 1/8 // - 1/8

x^(-3/5)-(1/8) = 0

x^(-3/5)-1/8 = 0

1*x^(-3/5) = 1/8 // : 1

x^(-3/5) = 1/8

-3/5 < 0

1/(x^(3/5)) = 1/8 // * x^(3/5)

1 = 1/8*x^(3/5) // : 1/8

8 = x^(3/5)

x^(3/5) = 8 // ^ 5

x^3 = 32768 // ^ 1/3

x = 32

x = 32

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