What are the rules for simplifying expressions involving powers of the same base called?

The rules for simplifying expressions that involve powers of the same base are known as the Index Laws. These laws provide a systematic approach to performing arithmetic on exponents, facilitating operations such as multiplication and division of exponential terms. For instance, when multiplying two powers with the same base, the Index Law states that you should add the exponents. Similarly, when dividing powers with the same base, the exponents are subtracted.

These laws are fundamental in algebra and serve as vital tools in simplifying expressions and solving equations that involve exponents. They ensure that mathematical operations maintain consistency and correctness across different expressions.

The other terms presented, while they may relate to powers and exponents, do not specifically refer to the established set of rules for simplifying powers of the same base.