The result of $996^{595} \mod 1079$ is 83.

Would you like further explanation or details on the steps involved?

Here are 5 related questions to deepen your understanding:

1. How does modular exponentiation work?
2. What is the importance of the modulus operation in cryptography?
3. Can you explain the concept of Euler’s Theorem in modular arithmetic?
4. How does the Chinese Remainder Theorem apply to modular equations?
5. What are efficient algorithms for calculating large powers in modular arithmetic?

Tip: When dealing with large powers in modular arithmetic, use modular exponentiation to reduce computational complexity.