treaustin9619 treaustin9619
  • 01-03-2018
  • Mathematics
contestada

What is the simplified form of i13?

A. -i
B. 1
C. -1
D. i

Respuesta :

carlosego
carlosego carlosego
  • 10-03-2018
First what you should know is that:
 i = root (-1)
 We note that in this case the exponent is odd.
 So we can rewrite the expression as:
 i ^ 13 = (i ^ 2) * (i ^ 2) * (i ^ 2) * (i ^ 2) * (i ^ 2) * (i ^ 2) * i
 i ^ 13 = (- 1) * (- 1) * (- 1) * (- 1) * (- 1) * (- 1) * i
 i ^ 13 = (1) * i
 i ^ 13 = i
 Answer: 
 the simplified form of i ^ 13 is: 
 D. i
Answer Link
diya2000hamed diya2000hamed
  • 02-10-2019

Answer:

-i

Step-by-step explanation:

Answer Link

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