Question

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

Answer 1

We have to find the value of the expression $i^{233}$

We know that the below values.

$i^2=-1\\i^4=1$

Hence, in order to find the value of the given expression, we can first rewrite it in terms of $i^4$

$i^{233}=(i^4)^{58}\cdot i$

Now, we know that $i^4=1$

Hence, we have

$i^{233}=(1)^{58}\cdot i$

$i^{233}=1\cdot i$

$i^{233}=i$

C is the correct option.

Answer 2

Choice c) I is the answer