How We Use Properties of Exponents:
Here is a list and examples of some of the properties of exponents:
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By Mandi Elam
The interaction between operations and exponents have certain properties that can help us when dealing with multiple exponents. These properties allow us to simplify equations and expressions.
Why is this concept useful?
Where does this concept fit into the curriculum?
How We Use Properties of Exponents:
Here is a list and examples of some of the properties of exponents:
1. Problem:
Find the value of m in the expression:
Solution:
This problem uses the quotient of powers property:
This means that:
2. Problem:
Evaluate and give the solution using only positive exponents:
Solution:
First, we simplify using the Power of a Power Property:
Next, use the Negative Exponent Property to make the exponent a positive number:
3. Problem:
Rewrite
Solution:
Looking at
In order to be sure, we need to evaluate
4. Problem:
Simplify
Solution:
As the exponent is rational, this means we will be using the Rational Exponent Property:
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