2.3 Euler's Theorem

Which of the following ALWAYS hold in \(Z_n\)?

Exercise 1

  \(a+b=b+a\)  

  \(ab=bc \implies a=c\)  

  \((ab)c=a(bc)\)  

  \(a(b+c) = ab+ac\)  

What are the elements of \(Z_7^{*}\)?
Enter your answer as series of numbers in INCREASING order, separated by spaces (e.g. "2 4 6 8")

Exercise 2

 Text Response  Answer:1 2 3 4 5 6