Mathematics, 30.07.2019 05:10, maryam615
Which simplifications of the powers of i are correct? there may be more than one correct answer.
select all correct answers.
i^22=1
i^11=−i
i^21=i
i^12=i
i^20=1
i^26=−1
i^27=i
Answers: 1
![\bf i^2=-1\qquad\qquad i^3=-i\qquad \qquad i^4=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ i^{22}\implies i^{(4\cdot 5)+2}\implies i^{4\cdot 5}i^2\implies (i^4)^5 i^2\implies 1^5(-1)\implies -1~\dotfill \bigotimes \\\\\\ i^{11}\implies i^{(2\cdot 5)+1}\implies (i^2)^5 i\implies (-1)^5(i)\implies -i~\dotfill \checkmark](/tpl/images/0149/3467/de46c.png)
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Which simplifications of the powers of i are correct? there may be more than one correct answer.
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