Understanding the Product Rule of Exponents

The video tutorial explains the product rule of exponents, which states that when multiplying exponential terms with the same base, you add the exponents. The tutorial provides three examples: multiplying exponents with the same base, handling negative bases, and dealing with multiple exponents. Each example demonstrates the application of the product rule and emphasizes leaving the product in its exponential form without simplifying further.

What is the product rule of exponents used for?

• To divide exponential terms with different bases

• To multiply exponential terms with the same base

• To subtract exponents of the same base

• To add exponential terms with different bases

When multiplying x^2 and x^4, what is the resulting exponent?

• 6

• 4

• 8

• 2

Why does the product rule make sense when expanding x^2 * x^4?

• Because it shows a total of six factors of x

• Because it simplifies to a single factor

• Because it results in fewer factors

• Because it results in a negative exponent

What is the exponent of -2 when multiplying -2^4 by -2?

• 3

• 6

• 5

• 4

How many factors of -2 are there in the product -2^4 * -2?

• 6

• 5

• 4

• 3

Why should the product be left in exponential form?

• Because it is easier to read

• Because it is required by the instructions

• Because it simplifies the calculation

• Because it results in a larger number

What is the result of multiplying y^4, y^5, and y?

• y^10

• y^8

• y^11

• y^9

How do you express y as an exponential term when it appears alone?

• y^3

• y^2

• y^0

• y^1

What is the sum of the exponents in y^4 * y^5 * y?

• 9

• 8

• 10

• 11

What is the base in the expression y^4 * y^5 * y?

• z

• y

• x

• -2