x^(-3/4)=8/27

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Solution for x^(-3/4)=8/27 equation: 


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

x^(-3/4) = 8/27 // - 8/27

x^(-3/4)-(8/27) = 0

x^(-3/4)-8/27 = 0

1*x^(-3/4) = 8/27 // : 1

x^(-3/4) = 8/27

-3/4 < 0

1/(x^(3/4)) = 8/27 // * x^(3/4)

1 = 8/27*x^(3/4) // : 8/27

27/8 = x^(3/4)

x^(3/4) = 27/8 // ^ 4

x^3 = 531441/4096 // ^ 1/3

x = 81/16

x = 81/16

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