Exercise 2.3: Exponents
Exponents are a fundamental concept in mathematics that represent repeated multiplication. In this exercise, we will focus on understanding and applying the rules of exponents.

Rules of Exponents
1. Product Rule: When multiplying two numbers with the same base, you add the exponents.
Example: \(a^m \times a^n = a^{m+n}\)
2. Quotient Rule: When dividing two numbers with the same base, you subtract the exponents.
Example: \(\frac{a^m}{a^n} = a^{m-n}\)
3. Power Rule: When raising a power to another power, you multiply the exponents.
Example: \((a^m)^n = a^{m \times n}\)
4. Zero Exponent Rule: Any non-zero number raised to the power of zero is equal to 1.
Example: \(a^0 = 1\)
5. Negative Exponent Rule: A number raised to a negative exponent is the reciprocal of the same number raised to the positive exponent.
Example: \(a^{-n} = \frac{1}{a^n}\)

Application of Exponents
In this exercise, you will be given expressions with exponents and asked to simplify them using the rules mentioned above. It is important to understand these rules and apply them correctly to solve the problems efficiently.

Practice and Mastery
To excel in exponents, practice is key. Make sure to work through various problems, understand the reasoning behind each rule, and apply them accurately. Mastery of exponents will not only help you in this exercise but also in more advanced mathematical concepts in the future.
By following these rules and practicing consistently, you will build a strong foundation in exponents and be well-prepared for more challenging mathematical problems.