Suppose that your friend, Leah Goldberg, tells you that she has discovered a method of simplifying a positive power of i. “Just divide the exponent by 4 ,” she says, “and then look at the remainder. Then refer to the table of powers of i in this section. The large power of i is equal to the power indicated by the remainder. And ,f the remainder is 0, the result is i0 = 1.” Explain why her method works.
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