Which expression is equivalent to i 233? a)1 b)–1 c)i d)–i

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Question:

Which expression is equivalent to i 233?
a)1
b)–1
c)i
d)–i

Answer:

We have to find the value of the expression ?f=i%5E%7B233%7D

We know that the below values.

?f=i%5E2%3D 1%5C%5Ci%5E4%3D1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of ?f=i%5E4

?f=i%5E%7B233%7D%3D(i%5E4)%5E%7B58%7D%5Ccdot%20i

Now, we know that ?f=i%5E4%3D1

Hence, we have

?f=i%5E%7B233%7D%3D(1)%5E%7B58%7D%5Ccdot%20i

?f=i%5E%7B233%7D%3D1%5Ccdot%20i

?f=i%5E%7B233%7D%3Di

C is the correct option.

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