The properties of the imaginary unit are i = -1 and i 2 = -1. (a) Begin

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The properties of the imaginary unit are i = √-1 and i2 = -1. 

(a) Begin simplifying the expressions i, i2, i3, i4, i5,..... until a simple pattern is discovered. For example, i= i · i= i · (-1) = -i. 

(b) Summarize your findings by describing how to simplify in for any natural number n.

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