1. Do Now: Simplify the expression.

2. Algebra II 5.1: nth Roots and Rational Exponents
Objective: to Solve equations using nth roots

3. nth roots

4. Core Concept n is even n is odd a < 0 no real roots one real root
two real roots

5. Example 1: Find the indicated real nth root(s) of a
a) n = 3, a = -216
b) n = 4, a =81

6. Practice: Find the indicated nth root(s) of a
1.) n = 4, a = -16
2.) n = 5, a = 243

7. Practice: Find the indicated nth root(s) of a
3.) n = 2, a = -49
2.) n = 3, a = -125

8. nth roots

9. Why rational roots?
What is a rational root?

10. Rational Exponents – Core Concept

11. Example 2

12. Example

13. Rewrite the expression using rational exponent notation.

14. Rewrite the expression using radical notation.