Power of a Product Property (Example)

The video tutorial explains how to simplify expressions using the power of a product property. It begins with identifying factors and their powers within parentheses, then applies the property to simplify expressions. Two examples are provided: the first demonstrates basic application, while the second involves more complex simplification using the associative property. The tutorial concludes with a summary of the key steps in finding the power of a product.

How many factors are inside the parentheses in the first example?

• Two

• Three

• Five

• Four

What is the power of 'a' in the expression 8^2 * a^8 * b^2?

• 1

• 8

• 2

• 4

In the second example, which factors are raised to the power of 3?

• X^2 and Y^6

• 3X^4

• Only X^2

• Only Y^6

What property allows us to combine the X factors in the second example?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

What is the final simplified expression in the second example?

• -3X^4Y^6

• 3X^10Y^6

• -3X^10Y^18

• 3X^4Y^18