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Which expression is equivalent to i233 ?

i
1
-i
-1

Correct Answer: i

Explanation:

We know that,

$i 2 = - 1 i 3 = i 2 x i = - 1 x i = - i i 4 = i 2 x i 2 = - 1 x - 1 = 1 Hence, i 233 = i 4 x 58 + 1 = i 232 x i 1 = 1 x i = i$

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