1. Rational Exponents 10.2 1.Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational number exponents using the rules of exponents. 4.Use rational exponents to simplify radical expressions.

2. Integer Exponents

4. Rational Exponents New notation for a familiar concept! Denominator is the index (root) of the radical.

5. Evaluate:

6. Evaluate: Not a real number

7. Rewrite in Radical Notation:

8. Rational Exponents Numerator is the power. power root Generally easier to find the root first and then the power.

9. Evaluate:

10. Evaluate:

11. Slide 10- 11 Copyright © 2011 Pearson Education, Inc. Simplify. a) 4 b) c)  4 d)

12. Slide 10- 12 Copyright © 2011 Pearson Education, Inc. Simplify. a) 4 b) c)  4 d)

13. Write in Exponential Form:

14. Rules of Exponents

18. Simplify radical expressions: 2 1

19. 2 1

23. Slide 10- 23 Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)

24. Slide 10- 24 Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d)