Answer
true
Work Step by Step
Note that $i^{12}=(i^2)^6$.
Thus, the given expression is equivalent to:
$=(i^2)^{6}$
With $i-\sqrt{-1}$. the expression above simplifies to:
$=[(\sqrt{-1})^2]^6
\\=(-1)^6
\\=1$
Therefore the given statement is true.