1. Powers, Roots, & Radicals OBJECTIVE: To Evaluate and Simplify using properties of exponents and radicals.

2.  Rational Numbers: can be written as a ratio.  Rational Expression:  Rational Function:

3. Radicand Index

4. SSimplest Form – properties of radicals have been applied, perfect nth powers have been removed, and any denominators have been rationalized. LLike Radicals – radical expressions that have the same index and the same radicand.

5.  Example: 3 1/2. 3 3/2

6.  Example: (4 3/2 ) 2

7. Example: (9. 4) 1/2

8. Example: 25 -1/2

9. Example:

10. Example Property:

11.  Use the properties of rational exponents to simplify the expressions.  a.  b.  c.

12. Can only combine like terms! Goal is to simplify each term to see if “life terms” result. “Like radicals” have the same index and the same radicand.

15.  Read Section 7.2  Pgs. 411-14: 24-81 (x3)