If (a_1, a_2, a_3, ..., an) belong to a group, what is the inverse of (a_1*a_2*...*a_n)?

Lorena Lester

Lorena Lester

Answered question

2022-07-26

If ( a 1 , a 2 , a 3 , . . . , a n ) belong to a group, what is the inverse of ( a 1 a 2 . . . a n )?

Answer & Explanation

losnonamern

losnonamern

Beginner2022-07-27Added 12 answers

If ( a 1 , a 2 , a 3 , . . . , a n ) is a group thenthe group could just be considered a n . The inverse would then just be 1 / a n .
Nelson Jennings

Nelson Jennings

Beginner2022-07-28Added 1 answers

( a 1 a 2 a 3 . . . . . . . . . . a n ) is just a n ! or a n factorial.
Example is 5!=5*4*3*2*1
For this reason the inverse of the group would just be 1 / a n !

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