'^' in the question means 'raised to'
 
Option for the answer is
  • 1
  • 2
  • 3
  • 4

Asked by Priyanka Margaret | 25th Apr, 2014, 01:44: PM

Expert Answer:

The order of a group is the number of elements in that group.
 
Let G be a group with '*' be the operation.
 
Given that the order of a group is 4.
 
Thus G is a group having 4 elements.
 
Let 'e' be the identity element of the group.
 
Thus, we have, a to the power of 4 equals e
Therefore, the order of a to the power of 4 is also 4.

Answered by  | 28th Apr, 2014, 09:16: AM

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