# Complex raise to complex!

Algebra Level 4

If $$a,b,c,d$$ and $$p$$ are real numbers such that $$(a+ib)^{c+id}=p$$ where $$p>0$$, then find the value of $$(a^2+b^2)^{c^2+d^2}$$.

Clarification: $$i=\sqrt{-1}$$.

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