i
because 89 is an odd number and since i is root of -1 if the exponent is odd, the result will always be i, the base. On the other hand, if it is even, the result will always be -1.
To simplify i^89 in terms of** complex numbers**, the answer is -i. ;
To simplify i 89 , we use the cyclic pattern of powers of i . The remainder when 89 is divided by 4 is 1, so i 89 = i . Hence, the answer is i .
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