Applying the product rule to simplify an expression with exponents

The video tutorial covers the product rule in mathematics, focusing on multiplying numbers and variables. It explains that numbers can only be multiplied by numbers and variables by variables. The tutorial provides an example of multiplying 3 by 4 and then X to the 4th by X to the 5th, resulting in 12X to the 9th. The product rule is applied by adding the exponents of like bases.

What is the product rule in mathematics?

How do you apply the product rule when multiplying variables?

What is the result of multiplying 3 * 4 and then applying the product rule to X^4 and X^5?

Explain how to add the powers when using the product rule.

What is the final expression obtained after applying the product rule to the given numbers and variables?