1. Algebra II 6.1: Evaluate nth Roots and Use Rational Exponents

2. Simplify the expression.

6. Finding real nth roots of a. If b n = a, then b is an nth root of a. If b n = a, then b is an nth root of a. Don’t forget about for even roots. Don’t forget about for even roots. 2 2 = 4 and (-2) 2 = 4, therefore the 2 nd root of 4 would be 2. 2 2 = 4 and (-2) 2 = 4, therefore the 2 nd root of 4 would be 2.

7. Examples: Find the indicated real nth root(s) of a without using a calculator. 1.) n = 3, a = -64 2.) n = 3, a = 216

8. Examples: Find the indicated real nth root(s) of a without using a calculator. 3.) n = 4, a = -16 4.) n = 4, a = 81

9. Examples: Find the indicated real nth root(s) of a without using a calculator. 5.) n = 5, a = 0 6.) n = 5, a = 243

10. Rational Exponents – Key Concept

11. Rewrite the expression using rational exponent notation.

12. Rewrite the expression using radical notation.

13. Evaluate the expression without using a calculator.

15. Evaluate the expression using a calculator. Round to the nearest hundredth.