###### tags: `MATA02-2022`
# MATA02-2022: Graded Assignment 4
**DUE: Friday, March 18, 11:59pm**

## 1. [50pts]
Find the following quotients. Note, these will be marked on an all-or-nothing basis, so make sure you have the correct answer, as there will be no partial credit. Remember that you can always check your work by multiplying.
1. $3/5$ mod 23
2. $4/3$ mod 29
3. $3/4$ mod 29
4. $4/3$ mod 19
5. $3/4$ mod 19

## 2. [50pts]
Solve the following powers. Please show your work. I recommend using Fermat's Little Theorem.
1. **15pts:** $3^{987654321}$ mod 41
2. **15pts:** $5^{1000000000}$ mod 11
3. **20pts:** $2^{12345678}$ mod 1999