Learning Outcomes
- Simplify quotients that require a combination of the properties of exponents
We’ll now summarize all the properties of exponents so they are all together to refer to as we simplify expressions using several properties. Notice that they are now defined for whole number exponents.
Summary of Exponent Properties
If are real numbers and are whole numbers, then
example
Simplify: .
Solution
Multiply the exponents in the numerator, using the
Power Property. |
|
Subtract the exponents. |
try it
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Simplify:
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try it
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Simplify:
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Simplify:
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Simplify:
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example
Simplify:
Show Solution
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For more similar examples, watch the following video.
Candela Citations
CC licensed content, Original
- Question ID: 146230, 146231, 146233, 146234, 146235, 146893, 146241. Authored by: Lumen Learning. License: CC BY: Attribution. License Terms: IMathAS Community License CC-BY + GPL
CC licensed content, Shared previously
- Ex 1: Simplify Expressions using Exponent Properties (Quotient / Power Properties). Authored by: James Sousa (mathispower4u.com). Located at: https://youtu.be/Mqx8AXl75UY. License: CC BY: Attribution
CC licensed content, Specific attribution
- Prealgebra. Provided by: OpenStax. License: CC BY: Attribution. License Terms: Download for free at http://cnx.org/contents/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757