Power of a Product Rule

The video tutorial explains the power of a product rule in mathematics, which involves multiplying two elements and applying an exponent to the product. The rule states that the exponent is distributed to both elements being multiplied. An example is provided to illustrate the concept, showing how to apply the rule to rewrite expressions with exponents.

What does the term 'product' refer to in mathematics?

• Multiplication

• Subtraction

• Division

• Addition

In the expression (a * b)^M, how is the exponent M applied according to the power of a product rule?

• To both a and b

• To neither a nor b

• Only to b

• Only to a

Which of the following is the correct application of the power of a product rule to (x * y)^3?

• x^3 * y

• x * y^3

• x^3 * y^3

• x^2 * y^2

What is the result of applying the power of a product rule to (m * n)^4?

• m * n^4

• m^4 * n

• m^2 * n^2

• m^4 * n^4

In the example given, how is the expression Z * y^2 rewritten using the power of a product rule?

• Z^2 * y^2

• Z^3 * y^3

• Z * y^2

• Z^2 * y

If you have (p * q)^5, how would you apply the power of a product rule?

• p^5 * q

• p * q^5

• p^5 * q^5

• p^4 * q^4