Using the Product Rule of Exponents, when you multiply two numbers with the same base, you add their exponents. However, in your case, \(19\) and \(18\) do not have the same base (they are different numbers).
If you were looking for a way to represent \(19 \cdot 18\) using exponents, you should first convert each number to an exponential form. However, since \(19\) and \(18\) do not share a common base or simple relationship, you would generally just write:
\(19 \cdot 18 = 19^1 \cdot 18^1\)
In this scenario, your base will be a combination of the two numbers, since you cannot represent them as a single base with a single exponent. If you are simply comparing or working with these two numbers as a product with no specific exponent form in mind, then:
- base = 19 and 18 (or you could represent it as just the composite product).
- exponent = 1 for both.
If you meant something more specific, please provide further clarification!