If i = sqrt -1 what is the value of i3 A. -1 B. i C. 1 D. -i

• : i^3  = i * i * i  = i^2 * i  = -1 * i = -i Answer
  
  Its D
• jscuervo1992:

  Answer:

  The value of i3 is equal to D. -i

  Step-by-step explanation:

  We can find the answer by taking the definition of i :

  i = sqrt(-1)        (1)

  i ^2 = (sqrt(-1)) ^2 = -1             (2) because square root and squaring are inverse operations

  so from (2)

  i ^3= i ^2* i = -1*i = -i

  So -i is the final answer or  – (sqrt(-1))         which is the same