5/27/22, 3:29 AM Quotient Rule
Rules of Exponents:
Quotient Rule
Division is the opposite of multiplication because when 5 × 3 = 15, then 15 ÷ 5 = 3. Similarly, the
exponent rule of division (quotient rule) is the opposite of the product rule. Here is one math
vocabulary word that will help you to understand this lesson video better:
Quotient = what you get when you divide a number by another number
The following video will explain with some examples of how to divide with exponents:
0::37 1x
Video Source (05:37 mins) | Transcript
Just like with the product rule, in order to use the quotient rule, our bases must be the same.
Then, if the bases are the same, the division rule says we subtract the power of the denominator
from the power of the numerator.
Examples:
6
m 6−2 4
2
= m = m
m
2 3 3 2+3 3
x m x x m 5−1 3−2 4
2
= 2
= x m = x m
m x m x
Additional Resources
Khan Academy: Exponent Properties 2 (05:11 mins, Transcript)
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-10-2.html 1/2
Rules of Exponents:
Quotient Rule
Division is the opposite of multiplication because when 5 × 3 = 15, then 15 ÷ 5 = 3. Similarly, the
exponent rule of division (quotient rule) is the opposite of the product rule. Here is one math
vocabulary word that will help you to understand this lesson video better:
Quotient = what you get when you divide a number by another number
The following video will explain with some examples of how to divide with exponents:
0::37 1x
Video Source (05:37 mins) | Transcript
Just like with the product rule, in order to use the quotient rule, our bases must be the same.
Then, if the bases are the same, the division rule says we subtract the power of the denominator
from the power of the numerator.
Examples:
6
m 6−2 4
2
= m = m
m
2 3 3 2+3 3
x m x x m 5−1 3−2 4
2
= 2
= x m = x m
m x m x
Additional Resources
Khan Academy: Exponent Properties 2 (05:11 mins, Transcript)
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-10-2.html 1/2
