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?

• Addition

• Division

• Subtraction

• Multiplication

In the expression (a * b)^M, what does the power of a product rule state?

• The exponent M is applied only to a

• The exponent M is applied only to b

• The exponent M is applied to both a and b

• The exponent M is ignored

How can the expression (a * b)^M be rewritten using the power of a product rule?

• a^M * b

• a * b^M

• a^M + b^M

• a^M * b^M

What happens to the exponent in the expression (Z * Y)^2 according to the power of a product rule?

• It is applied to both Z and Y

• It is not applied at all

• It is applied only to Y

• It is applied only to Z

If you have the expression (Z * Y)^2, how would you rewrite it using the power of a product rule?

• Z^2 + Y^2

• Z^2 * Y^2

• Z * Y^2

• Z^2 * Y

Which of the following is an example of applying the power of a product rule?

• (X * Y)^3 = X^3 + Y^3

• (X * Y)^3 = X^3 * Y^3

• (X * Y)^3 = X^3 - Y^3

• (X * Y)^3 = X^3 / Y^3