1. Rational Exponent Operations

2. Exponent Rules Copyright © 2013 Lynda Aguirre2

3. Properties of Radicals Changing Rational Exponents to Radical Form Splitting Property Copyright © 2013 Lynda Aguirre3

4. Exponent Rule #1 Add the Exponents Copyright © 2013 Lynda Aguirre4

5. To add or subtract fractions you need the same denominators(bottoms) These are already the same Copyright © 2013 Lynda Aguirre5

6. To add or subtract fractions you need the same denominators(bottoms) We need to change the second fraction’s denominator into a 4. (Multiply 2 nd fraction by 2, top and bottom) See lesson: LCM Rational Form Radical Form Simplify the radical (see splitting property) Copyright © 2013 Lynda Aguirre6

7. Exponent Rule #2 Multiply the Exponents Copyright © 2013 Lynda Aguirre7

8. To multiply fractions Multiply straight across (tops, then bottoms) Reduce the fraction (divide each of them by 2) Rational Form Radical Form Read the instructions to see whether the answer should be in Rational Form or Radical Form. Copyright © 2013 Lynda Aguirre8

9. Exponent Rule #3 Subtract the Exponents Copyright © 2013 Lynda Aguirre9

10. To subtract fractions You must have common denominators (The same number on the bottom) Rational Form Radical Form Read the instructions to see whether the answer should be in Rational Form or Radical Form. These bottom numbers are already the same Note: Always check to see if you can reduce the fractions and simplify radicals Copyright © 2013 Lynda Aguirre10

11. To subtract fractions You must have common denominators (The same number on the bottom) Rational Form Radical Form Note: Always check to see if you can reduce the fractions and simplify radicals We need to change both denominators into a 12. (Multiply 1 st fraction by 4, and 2 nd fraction by 3) Copyright © 2013 Lynda Aguirre11

12. Exponent Rule #4 Negative Exponents: Move it! OR Copyright © 2013 Lynda Aguirre12

13. PARKING TICKET: This term is in the wrong parking place. Move it and remove the ticket (the negative sign) 1) Write as a fraction Rational Form Radical Form 2) Move term to the bottom. 3) Remove the negative power Simplify the radical: splitting property Copyright © 2013 Lynda Aguirre13

14. PARKING TICKET: This term is in the wrong parking place. Move it and remove the ticket (the negative sign) Rational Form Radical Form 2) Remove the negative power Simplify the radical: splitting property 1) Move negative term to the top. Copyright © 2013 Lynda Aguirre14

15. Practice Problems Copyright © 2013 Lynda Aguirre15

16. Practice Problems Copyright © 2013 Lynda Aguirre16

17. Practice Problems Copyright © 2013 Lynda Aguirre17

18. Practice Problems Copyright © 2013 Lynda Aguirre18

19. More Exponent Rules with Rational Exponents