Evaluate the following: i^ 403 - Vidyadip

Question

Evaluate the following:

$i^{403}$

✓

Answer

We know that, $i^2=-1, i^3=-i, i^4=1$

$i^{403}=\left(i^4\right)^{100}\left(i^2\right) i=(1)^{100}(-1) i=-i$

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