Permutations abstract algebra

1. The problem statement, all variables and given/known data

Compute the expression shown for the permutations
1.[tex]\left|<\phi>\right|[/tex]
2..[tex]\left|<\tau^2>\right|[/tex]
3.[tex]\phi^{100}[/tex]
where:
[tex]\phi[/tex]= top row:1, 2 , 3 ,4 , 5 ,6
bottom row: 3,1, 4,5,6,2

[tex]\tau[/tex] = top row: 1,2,3,4,5,6
bottom row: 2,4,1,3,6,5

2. Relevant equations



3. The attempt at a solution
Ok, my main problem is that I don't even know what they're asking. I understand how to do permutation multiplication and composition, but not this.
I do know from the back of the book that #2 is 2, but I want to know why this is true.
 
Does it just mean finding the identity?
 

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