(1+2i)^(3-2i)

asked by guest
on Nov 26, 2024 at 11:52 pm



You asked:

Evaluate the expression: \({\left( 1 + 2 i \right)}^{3 - 2 i}\)

MathBot Answer:

Evaluated



\(\displaystyle {\left( 1 + 2 i \right)}^{3 - 2 i} = \left(1 + 2 i\right)^{3 - 2 i} \)

Expanded

\[{\left( 1 + 2 i \right)}^{3 - 2 i} = - 2 i \left(1 + 2 i\right)^{- 2 i} - 11 \left(1 + 2 i\right)^{- 2 i}\]

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

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