5/27/22, 3:29 AM Product Rule
Rules of Exponents:
Product Rule
The word product means to multiply. The product rule of exponents helps us remember what we
do when two numbers with exponents are multiplied together. Here are some math vocabulary
words that will help you to understand this lesson better:
Base = the number or variable that is being multiplied to itself.
Power = the number of the exponent, how many times the base is multiplied to itself.
The following video will explain, with some examples, what the product rule is:
The word product in math means what you get when you multiply things together.
3 4 7
x x = x
0::19 1x
Video Source (07:19 mins) | Transcript)
Qualification for the product rule: bases must be the same. If the bases are the same, then the
product rule says that you add the exponents. Also remember that you can multiply in any order,
so (a) (b) = (b) (a). This means that if there are multiple bases, you can rearrange the order
and add the exponents of any of the bases that are the same.
Additional Resources
Khan Academy: Exponent Rules Introduction (09:42 mins, Transcript)
Khan Academy: Exponent Properties 1 (02:35 mins, Transcript)
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-10-1.html 1/2
Rules of Exponents:
Product Rule
The word product means to multiply. The product rule of exponents helps us remember what we
do when two numbers with exponents are multiplied together. Here are some math vocabulary
words that will help you to understand this lesson better:
Base = the number or variable that is being multiplied to itself.
Power = the number of the exponent, how many times the base is multiplied to itself.
The following video will explain, with some examples, what the product rule is:
The word product in math means what you get when you multiply things together.
3 4 7
x x = x
0::19 1x
Video Source (07:19 mins) | Transcript)
Qualification for the product rule: bases must be the same. If the bases are the same, then the
product rule says that you add the exponents. Also remember that you can multiply in any order,
so (a) (b) = (b) (a). This means that if there are multiple bases, you can rearrange the order
and add the exponents of any of the bases that are the same.
Additional Resources
Khan Academy: Exponent Rules Introduction (09:42 mins, Transcript)
Khan Academy: Exponent Properties 1 (02:35 mins, Transcript)
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-10-1.html 1/2
