1. Warm up
Simplify: Rewrite and Simplify: b)

2. CCGPS Analytic Geometry
UNIT QUESTION: In what ways can algebraic methods be used in problem solving?
Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1
Today’s Question:
How are the exponent rules used to simplify expressions with rational exponents?
Standard: MCC9-12..N.RN.1-2

3. Operations with Rational Exponents and Radicals
CCGPS Geometry

4. Operations with Radicals
Radical expressions with the same index can be added subtracted, multiplied, or divided.
You can multiply or divide if the indices are not the same, but it is quite difficult.
To add or subtract, you must have like radicals.
Examples:

5. Your turn! 1) 2)
BONUS:

6. Operations with Rational Exponents
When the problem is written with rational exponents or radicals that don’t have the same indices, you will need to know the exponent rules below to simplify the problem.

8. Example #1

9. Example #2

10. Example #3

11. Example #4

12. Your turn!

13. Extra: Rewriting Using Positive Exponents

14. Extra: Rewriting Without a Square Root

15. Extra: Rewriting Without a Square Root
Which expression is equivalent to ? a) b) c) d)

16. Classwork / Homework
Practice Worksheet