Question

KIndly see the attached file and answer it
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Answer 1

Answer:

HOPE THE ATTACHMENT HELPS YOU

Answer 2

Answer:

Solution:

$\bf{{i}^{53} + {i}^{22} + {i}^{82} + {i}^{102} = 2}$

$\bf{ {i}^{53}(1 + {i}^{19} + {i}^{40} + {i}^{49} ) = 2}$

$\bf{{i}^{53} (1 + ( -1 ) + (1) + i) = 2}$

$= {i}^{53} (2) \\ \\ = ( { {i}^{4} })^{13 + 1} (2)$

Hope it will be helpful :)...✍️