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Complex Numbers - Integer Powers of \(i\)

Complex Numbers - Integer Powers of \(i\)

Simplify:

  1. \({{\mathbf{i}}^{32}}\)
  2. \({{\mathbf{i}}^{69}}\)
  3. \({{\mathbf{i}}^{17}}\)
  4. \({{\mathbf{i}}^{111}}\)
  5. \({{\mathbf{i}}^{86}}\)

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Answer:(a) \(1\) (b) \(i\) (c) \(i\) (d) \(-i\) (e) \(-1\)

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