Use of brackets while multiplying expression

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BALPARTAP SINGH
BALPARTAP SINGH el 11 de Feb. de 2021
Comentada: Stephen23 el 11 de Feb. de 2021
E_d=2.6*(((1-alpha)/Ku)^ 1/3)*(Pe^(-2/3));
While using this expression answers comes out be -0.0065 but if 1/3 is taken in bracket the answer changes and result is shown in complex form. Please explain the backend calculation by MATLAB.
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Alan Stevens
Alan Stevens el 11 de Feb. de 2021
What are the values of the constants in the expression?
BALPARTAP SINGH
BALPARTAP SINGH el 11 de Feb. de 2021
alpha = 0.1198
Ku = -0.173016419
Pe = 17808.22486

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Alan Stevens
Alan Stevens el 11 de Feb. de 2021
You have
E_d = 2.6*((1-alpha)/Ku)^1/3*Pe^(-2/3)
which only raises the bracketed term to the power 1, then divides the result by 3.
If you had
E_d = 2.6*((1-alpha)/Ku)^(1/3)*Pe^(-2/3)
you would be raising the bracketed term to the power 1/3, which would result in a complex number (because of the negative value of Ku).

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