Question

i i³⁸² + i³⁸⁰ + i³⁷⁸+ i³⁷⁴ ÷ i³⁷² + i³⁷⁰ +i³⁶⁸ +i³⁶⁴ is​​​

Answer 1

Answer:

1

Step-by-step explanation:

$i^{382}=-1\\i^{380}=1 \\i^{378}=-1\\i^{374}=-1\\i^{372}=1\\i^{370}=-1\\i^{368}=1\\i^{364}=1\\i^{382}+i^{380}+i^{378}+i^{374}+i^{372}+i^{370}+i^{368}+i^{364} = -1+1-1-1+1-1+1+1=1$