SOLUTION: Give answer in a + bi form. -4/i^10

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Question 124808: Give answer in a + bi form.
-4/i^10
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Raising the imaginary unit i to a power follows a pattern that repeats on a cycle of 4.

i%5E0=1
i%5E1=i
i%5E2=-1
i%5E3=-i
Then i%5E4=i%5E0=1 and so on.

The process is to apply the modulo function to the exponent on i. The modulo function returns the remainder when integer division is performed. In this case, your divisor is always 4.

10%2F4=2, remainder 2, so 10 modulo 4 = 2 => i%5E10=i%5E2=-1

So, %28-4%29%2Fi%5E10=%28-4%29%2F%28-1%29=4. In a%2Bbi form, 4%2B0i