Answer
$j$
Work Step by Step
Since $j=\sqrt{-1}$, $j^2=-1$, and $j^4=1$, we know that $j^8=(j^4)^2=1^2=1$ and we have
$$ j^{9}=j^{8} j=j$$
where we used the fact that $9=4\times 2+1$
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