Final answer:
The rule for multiplying two numbers in exponential notation with the same base is called the Law of Multiplication, where you add the exponents.
Step-by-step explanation:
Law of Exponents for Multiplying with the Same Base
When you are multiplying two numbers in exponential notation that have the same base, the process is governed by a specific law of exponents. This rule is known as the Law of Multiplication of exponents. In accordance with this law, you keep the base the same and add the exponents. For example, if you are given 102 × 105, the result would be 102+5 or 107.
The application of this law simplifies calculations, especially in the context of scientific notation. Scientific notation allows for the concise representation and easier arithmetic of very large or very small numbers, utilizing powers of ten.