1. Fractional Exponents
CA 2.0

2. Objective- To simplify expressions involving rational exponents

3. A fractional exponent is a root of the base.= or = =

4. Simplify. 1) = = 4) = = 2) = = 5) = = 3) = = 6) = =

5. Roots of Negative Numbers1) = =
No Real Root
–4 ● – 4 ≠ – 16 2) = = 3) = = 4) = =
No Real Root

6. Write using a root. Simplify.1) = =
No Real Root 2) = = 3) = =
No Real Root 4) = =

7. Write using a root. Simplify.5) = = 6) = =
No Real Root 7) = = 8) = =

8. Rule of Rational Exponents= or = =
power (exponent)
Root or power first?
Doesn’t matter!
root = = = = = = = =

9. power (exponent)
root

10. Simplify. 1) = = = 2) = = = 3) = = = 4) = = =

12. Simplify. 5) = = = 6) = = = 7) = = = 8) = = =

13. a) Simplify the root first.
b) Simplify the power first. 1) a) = = = b) = = = 2) a) = = = b) = = =