(9t)^-2/3=4

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Solution for (9t)^-2/3=4 equation: 


D( t )

9*t = 0

9*t = 0

9*t = 0

9*t = 0 // : 9

t = 0

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

((9*t)^-2)/3 = 4 // - 4

((9*t)^-2)/3-4 = 0

1/243*t^-2 = 4 // : 1/243

t^-2 = 972

-2 < 0

1/(t^2) = 972 // * t^2

1 = 972*t^2 // : 972

1/972 = t^2

t^2 = 1/972 // ^ 1/2

abs(t) = (1/972)^(1/2)

t = (1/972)^(1/2) or t = -(1/972)^(1/2)

t in { (1/972)^(1/2), -(1/972)^(1/2) }

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