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Greatest Integer Function

Solve : i9 +...

Question

Solve :
$i^{9} + i^{19}$

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Solution

$i^{9} + i^{19} = i^{4 \times 2 + 1} + i^{4 \times 4 + 3}$
$i + i^{3}$
$= i + (- i) = 0$ .

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