Multiplying two exponents by using the product rules of exponents

The video tutorial explains how to multiply exponents with the same base by adding their powers. It provides a detailed example, breaking down the process step-by-step to demonstrate why the rule works. The tutorial concludes by reinforcing the concept of adding exponents rather than multiplying them.

What is the rule for multiplying two exponents with the same base?

• Multiply the bases

• Add the exponents

• Subtract the exponents

• Divide the bases

If you have x^2 and x^4, what is the result when you multiply them?

• x^8

• x^6

• x^2

• x^4

How can you break down x^2 and x^4 to understand the multiplication process?

• x^2 is x minus x, and x^4 is x minus x minus x minus x

• x^2 is x divided by x, and x^4 is x divided by x divided by x divided by x

• x^2 is x plus x, and x^4 is x plus x plus x plus x

• x^2 is x times x, and x^4 is x times x times x times x

Why do we add the exponents instead of multiplying them?

• Because it is a rule of subtraction

• Because it follows the rule of exponents for multiplication

• Because it is a simpler method

• Because it is a rule of addition

What is the final result of multiplying x^2 and x^4?

• x^8

• x^4

• x^2

• x^6