# $$\mathbb Z$$ Complex Minima

Algebra Level 3

If $$Z$$ is a non-zero complex number, then find the minimum value of

$\displaystyle \dfrac{\text{Im}(Z^{5})}{(\text{Im}(Z))^{5} }.$

Clarification: $$\text{Im}(Z)$$ represent the imaginary part of $$Z$$.

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