The result of \( 45^4 \mod 26 \) is \( 9 \).

Would you like further details or have any questions? Here are some related questions:

1. How does modular arithmetic work with large powers?
2. Can we simplify numbers before applying the modulus?
3. What is the importance of modular arithmetic in cryptography?
4. How do you compute powers efficiently with mod using the "exponentiation by squaring" method?
5. How do inverse elements work in modular arithmetic?

**Tip:** In modular arithmetic, large numbers can often be reduced before performing exponentiation to make the calculations easier.

Learn how to calculate 45^4 mod 26 through modular arithmetic techniques. This problem involves exponentiation by squaring and reduction of large numbers before modulus, suitable for students in Grades 9-12 studying number theory and cryptography.

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