8x^(-3/4)=27

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


D( x )

x < 0

x = 0

x < 0

x = 0

x = 0

x in (0:+oo)

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

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

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

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

-3/4 < 0

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

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

8/27 = x^(3/4)

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

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

x = 16/81

x = 16/81

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