1. RATIONAL EXPONENTS Basic terminology Substitution and evaluating
Laws of Exponents
Multiplication Properties
Product of powers
Power to a power
Power of a product
Zero and negative exponents
Division properties of exponents
Quotient of powers
Power of a quotient

2. Basic Terminology
EXPONENT
means
BASE
Important Examples

3. IMPORTANT EXAMPLES
Variable Examples

4. Variable Expressions

5. Substitution and Evaluating
STEPS
Write out the original problem.
Show the substitution with parentheses.
Work out the problem.
= 64
More Examples

6. Evaluate the variable expression when x = 1, y = 2, and w = -3
Step 1
Step 1
Step 1
Step 2
Step 2
Step 2
Step 3
Step 3
Step 3

7. MULTIPLICATION PROPERTIES
PRODUCT OF POWERS
This property is used to combine 2 or more exponential expressions with the SAME base.

8. MULTIPLICATION PROPERTIES
POWER TO A POWER
This property is used to write and exponential expression as a single power of the base.

9. MULTIPLICATION PROPERTIES
POWER OF PRODUCT
This property combines the first 2 multiplication properties to simplify exponential expressions.

10. MULTIPLICATION PROPERTIES
SUMMARY
PRODUCT OF POWERS
ADD THE EXPONENTS
POWER TO A POWER
MULTIPLY THE EXPONENTS
POWER OF PRODUCT

11. ZERO AND NEGATIVE EXPONENTS
ANYTHING TO THE ZERO POWER IS 1.

12. DIVISION PROPERTIES QUOTIENT OF POWERS
This property is used when dividing two or more exponential expressions with the same base.

13. DIVISION PROPERTIES POWER OF A QUOTIENT Hard Example
Summary of Zero, Negative, and Division Properties

14. ZERO, NEGATIVE, AND DIVISION PROPERTIES
Zero power
Quotient of powers
Negative Exponents
Power of a quotient