1/y^6=9

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Solution for 1/y^6=9 equation: 


D( y )

y^6 = 0

y^6 = 0

y^6 = 0

1*y^6 = 0 // : 1

y^6 = 0

y = 0

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

1/(y^6) = 9 // - 9

1/(y^6)-9 = 0

1*y^-6 = 9 // : 1

y^-6 = 9

-6 < 0

1/(y^6) = 9 // * y^6

1 = 9*y^6 // : 9

1/9 = y^6

y^6 = 1/9 // ^ 1/6

abs(y) = (1/9)^(1/6)

y = (1/9)^(1/6) or y = -(1/9)^(1/6)

y in { (1/9)^(1/6), -(1/9)^(1/6) }

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