Question

can anyone help me to solve this problem ????​

Answer 1

Step-by-step explanation:

When you come across huge powers of i, divide the power by 4 and write the remainder as the new power of i.

so,

$i^{592}$ becomes $i^{0}$ because 592 is divisible by 4

$i^{590}$ becomes $i^{2}$ because when you divide 590 by 4 , you get remainder as 2.

Do this for all the powers, and later you may have to use the following equations.

$i^{2}$= -1

$i^{3}$= -i

$i^{4}$= 1

Hope it helps.