Question

what is the value of iota 579

Answer 1

hello users ...

solution:-
we know that:-
[tex] i^{4} [/tex] = 1 
And
$i^{3}$ = $-i$ 

So, here

=>$i^{579}$
=$i^{576 +3}$
=$i^{576} *i^{3}$
=$[i^{4 ^{(144)} } ] * i^{3}$ 
= $1^{144} * (-i)$
= 1 * $-i$
= $-i$ Answer 

# hope it helps :)