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, numbers, and fractions, emphasizing that everything inside parentheses gets the exponent outside. Examples include handling exponents inside parentheses and simplifying results.

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

• The difference rule and the power rule

• The sum rule and the product rule

• The power rule and the quotient rule

• The power rule and the product rule

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

• It is added to each term inside 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

In the expression (2x)^3, what is the exponent of x after applying the Power of a Product Rule?

• 1

• 2

• 3

• 6

What is the simplified form of 2^3?

• 8

• 6

• 4

• 10

How do you handle an exponent inside the parentheses when applying the Power of a Product Rule?

• Multiply the exponents

• Add the exponents together

• Subtract the exponents

• Divide the exponents

In the expression (2x^2)^5, what is the exponent of x after applying the Power of a Product Rule?

• 12

• 10

• 7

• 5

In the expression (-5x^2y^3z)^2, what is the exponent of x after applying the Power of a Product Rule?

• 2

• 8

• 4

• 6

Why is it important to keep the negative sign in parentheses when applying the Power of a Product Rule?

• To simplify the expression

• To ensure the negative sign is included in the exponentiation

• To apply the exponent only to the number

• To ensure the negative sign is ignored

How does the Power of a Product Rule apply to fractions?

• The exponent is ignored for fractions

• The exponent is applied to both the numerator and the denominator

• The exponent is only applied to the denominator

• The exponent is only applied to the numerator

What is the result of (1/4)^3 after applying the Power of a Product Rule?

• 1/12

• 1/16

• 1/32

• 1/64