AFOQT Practice Test

Which rule of exponents involves adding the exponents?

1. Distributing exponents

2. Multiplying numbers with the same base

3. Raising a power to a power

4. Dividing numbers with the same base

The correct answer is: Multiplying numbers with the same base

The principle that involves adding exponents occurs when multiplying numbers that share the same base. This rule states that when you multiply two powers with the same base, you keep the base and add the exponents together. For example, if you have \( a^m \times a^n \), the result is \( a^{m+n} \). This property simplifies calculations involving powers, making it easier to combine terms in algebraic expressions. Understanding this rule is essential as it forms the foundation for manipulating algebraic expressions and equations. Mastery of exponent rules enhances problem-solving skills in various mathematical contexts, including scientific calculations and algebraic simplifications.