Question

Simplify
a. i^23
b. i^42

Answer 1

@satellite73

Answer 2

i^23 = i.i^22 = i(i^2)^11 = do the rest
i^42 = (i^2)^21 = do it

Answer 3

I don't get it...?

Answer 4

ok let me explain

as i = sqrt(-1)
and i^2 = -1

now i^23 = i x i^22
= i x (i^2)^11
= i x (-1)^11
= do the last step now

Answer 5

now for the second question

i^42 = (i^2)^21
= (-1)^21
simplify it get your answer

got it??????

Answer 6

so for the first one it would be -1i? @rizwan_uet

Answer 7

and for the second one it would be -1? @rizwan_uet

Answer 8

yes you are right
a) -i

b) -1

Answer 9

can you explain this in words step by step please? So I can remember.

Answer 10

and isn't -i simply just -1?

Answer 11

no no -i not equals -1

Answer 12

oh okay nevermind then.

Answer 13

do you know i (iota) ???

Answer 14

nope...