if n is an odd positive integer, then find the value of (-1)ñ
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Answer: Since n is an odd integer n = 2m + 1, where m is a non-negative integer. So (-1)^n = (-1)^(2m+1) = [(-1)^(2m)](-1) = [(-1)^2]^m (-1) = (1^m)(-1) = (1)(-1) = -1.
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