Question 120459
First take the exponent 402 and divide by 4.
When it leaves a remainder of 0, the answer is {{{1}}}.
When it leaves a remainder of 1, the answer is {{{sqrt(-1)=i}}}.
When it leaves a remainder of 2, the answer is {{{-1}}}.
When it leaves a remainder of 3, the answer is {{{-sqrt(-1)=-i}}}.



Since {{{402/4}}} leaves a remainder of 2, this means the answer is {{{-1}}}.


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Answer:


So {{{i^402=-1}}} which looks like {{{-1+0i}}} in {{{a + bi}}} form