Question

Simplify this imaginary unit..help please?

Answer 1

\[i^{37}\]

Answer 2

i ^ 4 = 1
i ^ 37 = i^36 * i
= (i^4) ^ 9 * i
= 1 * i
= i

Answer 3

We know that \[i^4= 1\]
Now \[i^(37) \] can be written as i^(36) * i = (i^(4))^9 * i = i