Evaluate the following: i ^ -888 - Vidyadip

Question

Evaluate the following:

$i ^{-888}$

✓

Answer

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

$\mathrm{i}^{-888}=\left(\mathrm{i}^4\right)^{-222}=(1)^{-222}=\frac{1}{(1)^{222}}=1$

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