How do you simplify $i^{1005}$ $i^1005$ ?

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How do you simplify $i^{1005}$ $i^1005$ ?

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Answer 1 · 2016-04-01T09:45:46

$i^{1005} = i^{1004} \cdot i = {(i^{2})}^{502} \cdot i = {(- 1)}^{502} \cdot i = 1 \cdot i = i .$ $i^1005 = i^1004 * i = (i^2)^502 * i = (-1)^502 * i = 1 * i = i.$

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How do you simplify $i^{1005}$ $i^1005$ ?

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