1. 5.7 Rational Exponents
Fraction Exponents

2. Radical expression and Exponents
By definition of Radical Expression.
The index of the Radical is 3.

3. How would we simplify this expression?
What does the fraction exponent do to the number?
The number can be written as a Radical expression, with an index of the denominator.

4. The Rule for Rational Exponents

5. Write in Radical form

6. Write in Radical form

7. Write each Radical using Rational Exponents

8. Write each Radical using Rational Exponents

9. What about Negative exponents
Negative exponents make inverses.

10. What if the numerator is not 1
Evaluate

11. What if the numerator is not 1
Evaluate

12. What if the numerator is not 1
Evaluate

13. For any nonzero real number b, and integer m and n
Make sure the Radical express is real, no b<0 when n is even.

14. Simplify each expression
No fraction in the denominators.

15. Simplify each expression
No fraction in the denominators.

16. Simplify each expression
No fraction in the denominators.

17. Simplify each expression
No fraction in the denominators.

18. Simplify each expression
No fraction in the denominators.

19. Simplify each expression
No fraction in the denominators.

20. Simplify each expression
No fraction in the denominators.

21. Simplify

22. Simplify

23. Simplify

24. Simplify

25. Simplify

26. Simplify

27. Simplify

28. Simplify

29. Simplify

30. Simplify

31. Simplify

32. Simplify

33. Simplify