Răspuns :
z=i +i²⁰¹⁶ +i²⁰¹⁷ => z=i +i⁴ⁿ +i⁴ⁿ⁺¹ => z=i+1+i => z=2i+1 ;
|z|=√ a² +b² =√ 1² +2² =√5 <=> |z|=√5 ;
|z¹⁰|=|z|¹⁰=√5¹⁰=5⁵=3125 .
z=i +i²⁰¹⁶ +i²⁰¹⁷ => z=i +i⁴ⁿ +i⁴ⁿ⁺¹ => z=i+1+i => z=2i+1 ;
|z|=√ a² +b² =√ 1² +2² =√5 <=> |z|=√5 ;
|z¹⁰|=|z|¹⁰=√5¹⁰=5⁵=3125 .