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 primary focus when applying the product rule in mathematics?

• Adding numbers

• Multiplying numbers and variables

• Subtracting variables

• Dividing numbers

When multiplying 3 and 4, what is the result?

• 7

• 12

• 9

• 15

How do you combine the exponents when multiplying X to the 4th and X to the 5th?

• Divide the exponents

• Subtract the exponents

• Multiply the exponents

• Add the exponents

What is the final result of multiplying 3 * 4 and X to the 4th times X to the 5th?

• 12X to the 20th

• 7X to the 9th

• 12X to the 9th

• 15X to the 5th

What is the purpose of the product rule in mathematics?

• To divide numbers

• To subtract variables

• To add numbers

• To multiply numbers and variables