How do you simplify $i^-11$ ?

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Answer 1 · 2015-12-19T21:55:28

Simplify the expression by using the fact that $i^4 = 1$ to find
$i^(-11) = i$

Using that $i^2 = -1$ and thus $i^4 = (i^2)^2 = 1$ we have

$i^-11 = 1/i^11 = i/(i*i^11)= i/i^12 = i/(i^4)^3 = i/1^3 =i/1 = i$

How do you simplify i^-11i^-11?