How do you simplify $i14$ ?

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Answer 1 · 2015-12-09T03:05:52

$-1$

Rewrite $i^14$ as $(i^4)^3xxi^2$ .

If $i=sqrt(-1),$ then $i^2=-1$ . From here $(i^2)^2=(-1)^2$ , so $i^4=1$ .

If $i^4=1$ , then we can say that:

$i^14=(1)^3xxi^2$

$=i^2$

$=-1$

How do you simplify i14i14?