Question

How was this answered? i don't know how, pls. help​

Answer 1

see explanation

Explanation:

Using
`√(-1)` = i, then i² = (
`√(-1)` )² = - 1

and i³ = i² × i = - 1 × i = - i

also

`i^(4)` = i² × i² = - 1 × - 1 = 1

We can surmise that i raised to any multiple of 4 will equal 1

Given

`i^(35)` ( note 35 = 32 + 3 and 32 is a multiple of 4 ), thus

=
`i^(32+3)`

= 1 × i³ = - i