What is the Power to Product Rule of Exponents

The video tutorial explains the concept of the power of a product, demonstrating how to apply exponents to products using the distributive property. It provides examples to illustrate the rule and clarifies why this rule does not apply to addition, emphasizing the importance of understanding the difference between multiplication and addition when dealing with exponents.

What does the power of a product rule state?

• Each factor in a product is raised to the power individually.

• The sum of the factors is raised to the power.

• Only the first factor is raised to the power.

• The product is multiplied by the power.

How is the power of a product similar to the distributive property?

• Both apply only to subtraction.

• Both involve addition of terms.

• Both are used in division.

• Both distribute an operation across terms.

In the example of 3X raised to the fourth power, what is the result of 3 to the fourth power?

• 27

• 54

• 81

• 108

Why does the power of a product rule not apply to addition?

• Because addition requires the FOIL method.

• Because addition is not a mathematical operation.

• Because addition is always squared.

• Because addition is the same as multiplication.

What method should be used for expanding (X + 2) squared?

• Power of a product

• FOIL method

• Distributive property

• Division method