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Simplify the complex number:

$$ { \left( 4+\cfrac { \pi }{ 4 } i \right) }^{ \cfrac { 5 }{ 2 } }$$

Round your answer to the nearest hundredth.

A

$33.55+0.28i$

B

$15.63+29.69i$

C

$29.69+15.63i$

D

$3.61+1.90i$

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