Express the complex numbers i^9 + i^ 19 in the form a + ib. - Vidyadip

Question

Express the complex numbers $i^9 + i^{19}$ in the form $a + ib.$

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Answer

$i^9 + i^{19} = {({i^2})^4} \cdot i + {({i^2})^9} \cdot i$
$ = {( - 1)^4} \cdot i + {( - 1)^9} \cdot i$
$= i - i = 0$

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