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7.1 properties of exponents

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This document discusses properties of exponents including product of powers, power of a power, power of a product, negative exponents, zero exponent, quotient of powers, and power of a quotient. It provides examples of evaluating expressions using these properties and simplifying expressions by removing negative exponents.

7.1 properties of exponents

Product of Powers
Power of a Power
Power of a Product
For each property below: let a and
b be real numbers and let m and n
be integers.

Negative Exponents
Zero Exponent
Quotient of Powers
Power of a Quotient

 Examples:

 Evaluate each expression:

 A simplified expression contains no
negative exponents!
 Examples:

7.1 properties of exponents

 Simplify:

 Simplify:

 Simplify

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7.1 properties of exponents

2. Product of Powers Power of a Power Power of a Product For each property below: let a and b be real numbers and let m and n be integers.

3. Negative Exponents Zero Exponent Quotient of Powers Power of a Quotient

4.  Examples:

5.  Evaluate each expression:

6.  A simplified expression contains no negative exponents!  Examples:

8.  Simplify:

9.  Simplify:

10.  Simplify