1. Start Up Day 37 12/11 Simplify Each Expression

2. 6-4 Rational Exponents In other words, exponents that are fractions.

3. Definition of For any real number b and any integer n > 1, except when b < 0 and n is even

4. Examples:

5. Your Turn:

7. Definition of Rational Exponents For any nonzero number a and any integers m and n with n > 1, except when a < 0 and n is even

8. NOTE: There are 3 different ways to write a rational exponent

9. YOUR TURN:

11. Simplifying Expressions  No negative exponents  No fractional exponents in the denominator  No complex fractions (fraction within a fraction)  The index of any remaining radical is the least possible number

12. Rewrite as a radical Examples: Simplify each expression Get a common denominator - this is going to be our index

13. Examples: Simplify each expression To rationalize the denominator we want an integer exponent

14. YOUR Turn: Simplify Rememb er we add exponent s

15. Your Turn: Simplify To rationalize the denominator we want an integer exponent

16. Examples: Simplify each expression