Answer
$2$
Work Step by Step
Using $i^2=-1$ and the laws of exponents, the given expression, $
i^4+i^{12}
,$ is equivalent to
\begin{array}{l}\require{cancel}
(i^2)^2+(i^2)^6
\\\\=
(-1)^2+(-1)^6
\\\\=
1+1
\\\\=
2
.\end{array}
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