GageReeves GageReeves
  • 21-09-2018
  • Mathematics
contestada

Simplify each of the following powers of i. i^99=

Respuesta :

s1m1
s1m1 s1m1
  • 21-09-2018
i= sqrt (-1)

If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i

99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i
Answer Link
petersh1 petersh1
  • 05-08-2019

Answer:

-i is the answer

Answer Link

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