2.3 Euler's Theorem

\(9+12=x~(\mathbb{Z}_{13})\)

Exercise 1

 Text Response  Answer:8

\(7\cdot 5=x~(\mathbb{Z}_{8})\)

Exercise 2

 Text Response  Answer:3

What is the impact of multiplying members of \(\mathbb{Z}^*_n\) by another member of \(\mathbb{Z}^*_n\)?

Exercise 3

  The set of numbers and their order always stay the same The set of numbers stays the same but the order may change We get members of \(\mathbb{Z}_n-\mathbb{Z}^*_n\) We cannot tell The set of numbers stays the same but the order may change