The result of \( 893^{595} \mod 1079 \) is 48.

Would you like more details on how this was calculated or have any further questions?

Here are 5 related questions to explore:

1. How does modular exponentiation work, and why is it efficient?
2. Can modular arithmetic be used in cryptography?
3. How would the result change if a different modulus were used?
4. What is Fermat's Little Theorem, and how is it applied in modular arithmetic?
5. How can large powers be computed efficiently in number theory?

**Tip:** Modular exponentiation can be efficiently computed using the "exponentiation by squaring" method, which drastically reduces the number of operations needed for large exponents.

Learn how to solve the modular exponentiation problem 893^595 mod 1079 using the exponentiation by squaring method. This example illustrates key number theory concepts such as modular arithmetic and Fermat's Little Theorem. Suitable for students in Grades 11-12.

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