Express the i^ –35 in the form a + ib - Vidyadip

Question

Express the $i^{–35}$ in the form $a + ib$

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Answer

$i^{-35}= \frac 1{i^{35}}$
$\frac 1{(i^2)^{17} i}$
$= \frac 1{-i} \times \frac i{i}$
$\frac i{-i^2} $ = i

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