Question

what is the value of i^243​

Answer 1

Answer:

i^243= i^240+3= i^4×60+3=i^3 =-i

So answer is -i

We have used a simply property here that i^4=1

Just break the power in terms of 4 and simplying it will give the result.

Answer 2

Answer:

i^243 = -i

Step-by-step explanation:

When going through the powers of i there are 4 "rules"

$i^1$ = $\sqrt{-1}$

$i^{2}$ = -1

$i^3$ = -i

$i^4$ = i

When solving this problem I divide 243 by 4 (because there are 4 "rules) which leads me to 60.75. Meaning I would go through the rules 60 times before having to land on the correct one. .75 means that it is 3/4 so $i^3$ which would equal -i

Hope this helped you :)