Quotient Rule for Exponents


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Videos, worksheets, and solutions to help Grade 7 students learn the quotient rule of exponent.




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The Quotient Rule of Exponent
The Quotient Rule of Exponents states that when you divide two powers that have the same base, you can subtract the exponent of the denominator from the exponent of the numerator. The base remains the same.

Example:
36 / 32 = 36 - 2 = 34

How to Apply the Quotient Rule:

  1. Check if the bases are the same: The quotient rule only applies when the numbers or variables being divided have the same base.
  2. Subtract the exponents: If the bases are the same, keep the base and subtract the exponent in the denominator from the exponent in the numerator (m − n).

The following diagram shows the quotient rule for exponents. Scroll down the page for more examples and solutions for the exponential rules.
Quotient Rule for Exponents
 

Rules of Exponents
Refer to the following for more Rules of Exponents:
Rules of Exponents

Quotient Rule of Exponents
How to divide numbers with exponents.

Simplify Exponential Expressions - Quotient Rule
This video provides several examples of how to simplify exponential expressions. The quotient rule is emphasized.

The Quotient Rule - Dividing with Exponents
Learn the quotient rule, which states that when dividing two powers that have the same base, subtract the exponents.




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