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

Would you like further details on the steps or methods used to calculate this?

Here are 5 related questions you might find interesting:
1. What is modular exponentiation, and why is it useful?
2. How do you efficiently compute large exponents modulo a number?
3. How would this calculation change if the modulus were a prime number?
4. How is modular arithmetic used in cryptography, such as RSA encryption?
5. How can Fermat's Little Theorem be applied to modular exponentiation problems?

**Tip:** When dealing with large powers and moduli, modular exponentiation is a fast and efficient method compared to directly calculating large numbers.

Discover how to solve the modular exponentiation problem 996^595 mod 1079 with detailed steps. This solution utilizes efficient algorithms for large exponents, covering key concepts in modular arithmetic. Suitable for Grades 11-12 and students interested in cryptography applications.

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