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

Check for Understanding Think-Pair-share Simplify  

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

Example Factor

Example Factor

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

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

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

Examples Simplifying by Factoring

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

Examples Rationalize the denominator

Examples Rationalize the numerator

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

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.

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