11. Simplify the expression $i^{245}$. a. 1 c. $i$ b. $-i$ d. $-1$
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The powers of $i$ repeat in a cycle of 4: $i^1 = i$ $i^2 = -1$ $i^3 = i^2 \cdot i = -1 \cdot i = -i$ $i^4 = i^2 \cdot i^2 = (-1) \cdot (-1) = 1$ $i^5 = i^4 \cdot i = 1 \cdot i = i$ And so on. To find the value of $i^{245}$, we need to find the remainder when the Show more…
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