Question

Which expression is equivalent to i 233

Answer 1

Start with second, third and fourth  degree of imaginary unit i:

$i^2=-1, \\ i^3=i^2\cdot i=-1\cdot i=-i, \\ i^4=i^2\cdot i^2=-1\cdot (-1)=1$.

Since 233=232+1=4·58+1, then $i^{233}=i^{4\cdot 58+1}=(i^4)^{58}\cdot i^1=1^{58}\cdot i=i$.

Answer: $i^{233}=i$

Answer 2

Answer:C

Step-by-step explanation: