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Question
Express the given complex number in the form a + ib: i9 + i19
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Solution
i9 + i19 = i8.i + i18.i.
= [i2]4.i + [i2]9. i
= (-1)4 i + (-1)9 i
= i + (-1)i
= i – i = 0
= 0 + 0i
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