Complex Numbers - Introduction to Complex Numbers

Complex Numbers - Introduction to Complex Numbers

Simplify each of the following complex numbers and state its real and imaginary parts.

  1. \({{\mathbf{i}}^{3}}\)
  2. \({{\mathbf{i}}^{4}}\)
  3. \({{\mathbf{i}}^{5}}\)

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Answer:(a) \(-i\): real part \(0\), imaginary part \(-1\). (b) \(1\): real part \(1\), imaginary part \(0\). (c) \(i\): real part \(0\), imaginary part \(1\).

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