Simplifying using the power of product rule

The video tutorial covers the properties of exponents, focusing on the power of product. It explains how to apply this property to expressions involving exponents, using examples to illustrate the concept. The tutorial demonstrates the distribution of exponents across terms and the multiplication of exponents when terms are raised to a power. The session concludes with simplifying expressions using the power of product.

What does the power of a product property state?

• The product of two exponents is equal to the sum of their bases.

• The difference of two exponents is equal to the division of their bases.

• The sum of two exponents is equal to the product of their bases.

• The product of two terms raised to an exponent is equal to each term raised to the exponent.

In the expression (A^P * B^P)^M, what is the result according to the power of a product property?

• A^(P-M) * B^(P-M)

• A^(P+M) * B^(P+M)

• A^(P/M) * B^(P/M)

• A^(P*M) * B^(P*M)

What is the first step when applying the power of a product property?

• Divide the exponents by the number of terms.

• Distribute the exponent to each term in the product.

• Add the exponents together.

• Subtract the exponents from each other.

How do you simplify the expression 2^2 * X^2 * 4^2 * Y^2?

• 8 * X^4 * Y^4

• 32 * X^4 * Y^4

• 16 * X^2 * Y^2

• 64 * X^2 * Y^2

What is the result of 16 * 4 in the context of simplifying the expression using the power of a product property?

• 80

• 48

• 64

• 32