Question

Simplify i^38

Answer 1

hi :)
do you know what 'i' is here ?

Answer 2

NO :( The question on my virtual school just has the 'i' italisized raised to the 38th power...

Answer 3

ok, then let me tell you :
\(\large i= \sqrt {-1}\)

Answer 4

so, \(i^2=-1\)

Answer 5

Thanks <3 Does anyone know how to simplyfy \[\sqrt{-121}\]

Answer 6

but did you get i^38 first ?

Answer 7

I won't know until I finish all 5 questions. But it was one of the answer choices :)

Answer 8

i is an imaginary number. so basically its -1,-i,1, and i. its just really to tell you if your answer will be positive or negative. first you'll divide the exponent (38) by 4 to see which interval it it. so 38/4= 9.5 or 9 remainder 5. if it ends in .25, it's 1 i, if it ends in .5, it's two i's, .75 for 3 i's and it'll be a whole number if it's 4 i's.