Which expression is equivalent to i233?

Step-by-step explanation:

We have to find the value of the expression i^{233}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^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i