Power of a Product Rule Concepts

Mrs. Mallet explains the power of a product rule, which combines the power rule and product rule. She demonstrates how to apply this rule to variables, constants, and fractions, emphasizing that everything inside parentheses receives the exponent outside. Examples include simple variables, constants, and more complex expressions with multiple variables and fractions. The video also covers handling exponents inside parentheses and simplifying results.

What is the Power of a Product Rule a combination of?

• Power Rule and Product Rule

• Product Rule and Chain Rule

• Power Rule and Quotient Rule

• Quotient Rule and Chain Rule

According to the Power of a Product Rule, what happens to the exponent outside the parentheses?

• It is multiplied by each term inside the parentheses

• It is distributed to each term inside the parentheses

• It is subtracted from each term inside the parentheses

• It is added to each term inside the parentheses

If you have (xy)^2, what does it become using the Power of a Product Rule?

• x^2 + y^2

• x^2y^2

• 2xy

• x^2y

What is the result of (xy)^3 using the Power of a Product Rule?

• x^3y^3

• x^3 + y^3

• 3xy

• x^3y

How does the Power of a Product Rule apply to 2x raised to the 3rd power?

• 2^3x

• 2^3 + x^3

• 2x^3

• 2^3x^3

What is the simplified form of 2^3?

• 10

• 8

• 6

• 4

How do you simplify (2x)^3 using the Power of a Product Rule?

• 2^3x

• 2^3x^3

• 2^3 + x^3

• 2x^3

When you have an exponent inside the parentheses, what operation do you perform with the outside exponent?

• Divide

• Multiply

• Subtract

• Add

What is the result of (2x^2)^5 using the Power of a Product Rule?

• 2^5x^5

• 2^10x^5

• 2^5x^10

• 2x^10

What is 2^5 simplified to?

• 64

• 32

• 24

• 16