# Exponents Part 3 - Product Rule for Exponents

Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Errors in this video:

At the end of the video, 7^5 * 7^6 should equal 7^11

Lesson Description:

Develops the Product Rule for Exponents

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• What is the product rule in the laws of exponents?
• How do you use the product rule for exponents to evaluate variable expressions?
• What is x^3 * x^4?
• What does 5^4 * 5^3 equal?
• What is m^20 * m^40?
• Why do you add the exponents in the product rule for exponents?
• How do you evaluate x^5 * x^8, x^10 * x, x^2 * x^6 * x^4, and x^2 * y^3?
• Why can you only add exponents when the base is the same?
• What does 11^10 * 11^2 * 11 equal?
• How do you simplify 3x^2 y * 4x^3 y^5 using the product rule of exponents?
• What does (2x^4 m^2)(-3x^5 m^3)(2x^10) simplify to?
• How is multiplying variables with exponents different than adding like terms?
• How is 2x^3 + 4x^3 different than 2x^3 * 4x^3?
• How is 3x^2 + 2x^3 different than 3x^2 * 2x^3?
• Why does 7^5 * 7^6 NOT equal 49^11?
• #### Staff Review

• Currently 3.0/5 Stars.
The product rule for exponents is explained in this lesson. Some examples are shown, and the product rule is discovered. Then, many example problems are done using this rule. By evaluating and simplifying many expressions, the product rule of exponents is shown and explained over and over. Also, the common misconception that adding like terms works the same as multiplying variables and using the product rule is explained.