Complex Numbers - Integer Powers of \(i\)

Complex Numbers - Integer Powers of \(i\)

Simplify:

  1. \({{\mathbf{i}}^{7}}-5{{\mathbf{i}}^{13}}\)
  2. \(3{{\mathbf{i}}^{23}}-4{{\mathbf{i}}^{74}}\)

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Answer:(a) \(-6i\) (b) \(4-3i\)

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