1. R-6 How are Exponents & Radicals Simplified?
Match the Rule with the example
Rules
Examples
1. Product Rule A.
2. Power Rule B.
3. Power of a Product Rule C.
4. Quotient Rule D.
5. Zero Exponent Rule E.
6. Power of a Quotient Rule F.
7. Negative Exponents G.
Now simplify each example above

2. Check for Understanding
Think-Pair-share
Simplify

3. Example
Use properties of exponents to simplify the following. Write results with only positive exponents. a. b.
Remember your common denominator!

4. Example
Factor

5. Example
Factor

6. Check for Understanding
Partner-Check
Page R-25
#1,15,21,31,39,49,53,55
One’s will explain to Two’s #1,31,39,55
Two’s will explain to One’s #15,21,49,53
Homework:
Page R-25 #2-56 even

7. Understanding a1/n Recall that a cube root is defined so that
However, if we let b = a1/3, then
Since both values of b give us the same a,
If n is a positive integer greater than 1 and is a real number, then

8. Examples
Use radical notation to write the following. Simplify if possible. a. b. c.

9. Examples
Simplifying by Factoring

10. Check for Understanding
Think-Pair-Share
Page R-28 to R-29 #7,9,11,19,21,23,25
One’s will explain to Two’s # 7,9,23,25
Two’s will explain to One’s #11,19,21,25
Homework:
Pages R-28 to R-29 #2-26 even

11. Examples
Rationalize the denominator

12. Examples
Rationalize the numerator

13. Check for Understanding
Think-Pair-Share
Page R-29 #27,29,33,35,41
One’s will explain to Two’s # 27,33,41
Two’s will explain to One’s # 29,35,41

14. Find the errors in the work for the three problems on the worksheet.
Lesson Assignment
Find the errors in the work for the three problems on the worksheet.
Write an explanation to the student explaining where they made their mistakes and how they can correct them.

15. What will you multiply by to rationalize the numerator?
Ticket Out the Door
What will you multiply
by to rationalize the numerator?
Homework:
Pages R-29 #28-44 even