x^(-6)=3/4

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Solution for x^(-6)=3/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

x^-6 = 3/4 // - 3/4

x^-6-(3/4) = 0

x^-6-3/4 = 0

1*x^-6 = 3/4 // : 1

x^-6 = 3/4

-6 < 0

1/(x^6) = 3/4 // * x^6

1 = 3/4*x^6 // : 3/4

4/3 = x^6

x^6 = 4/3 // ^ 1/6

abs(x) = (4/3)^(1/6)

x = (4/3)^(1/6) or x = -(4/3)^(1/6)

x in { (4/3)^(1/6), -(4/3)^(1/6) }

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