(1-i)^(5/4)

asked by guest
on Nov 15, 2024 at 11:38 pm



You asked:

Evaluate the expression: \({\left( 1 - i \right)}^{\frac{5}{4}}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 1 - i \right)}^{\frac{5}{4}} = \left(1 - i\right)^{\frac{5}{4}} \)


Expanded

\[{\left( 1 - i \right)}^{\frac{5}{4}} = - i \sqrt[4]{1 - i} + \sqrt[4]{1 - i}\]


\(i\) is the imaginary unit, defined as \(i^2 = -1\).