5y^(-4/3)=1

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Solution for 5y^(-4/3)=1 equation: 


D( y )

y = 0

y = 0

y = 0

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

5*y^(-4/3) = 1 // - 1

5*y^(-4/3)-1 = 0

5*y^(-4/3) = 1 // : 5

y^(-4/3) = 1/5

-4/3 < 0

1/(y^(4/3)) = 1/5 // * y^(4/3)

1 = 1/5*y^(4/3) // : 1/5

5 = y^(4/3)

y^(4/3) = 5 // ^ 3

y^4 = 125 // ^ 1/4

abs(y) = 125^(1/4)

y = 125^(1/4) or y = -125^(1/4)

y in { 125^(1/4), -125^(1/4) }

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