1. 6.1 Evaluate nth Roots & use Rational Exponents
Algebra II

2. The nth root of a is:

3. Rational Exponents

4. Ex. 1 Rewrite the expression using rational exponent notation

5. Ex. 2 Rewrite the expression using radical notation
b.)

6. Real nth Roots (pg. 414 key concept)
If n is odd, then a has one real nth root.
Given n=5, a=-32;
If n is even & a>0, then a has two real nth roots. Given n=4, a=625;
If n is even & a=0, then a has one nth root.
Given n=6, a =0.
If n is even & a<0, then a has NO REAL nth roots. Given n=6, a = -1

7. Evaluating Expressions with Rational Exponents (without calc.)
Ex. 3a.)
3b.)

8. Evaluation expressions
4b.)

9. Solving Equations
Ex. 5a.)
5b.)

10. Solving an Equation using an nth root
Ex. 6
A basketball has a volume of about cubic inches. The formula for the volume of a basketball is Find the radius of the basketball.