1. 5.1 nth Roots and Rational Exponents

2. nth Roots

3. Evaluating Expressions with Real Roots
Example 1

4. Rational Exponents

5. Evaluating Expressions with Rational Exponents
Example 2

6. Evaluating Expressions with Rational Exponents
Example 3

7. Approximating Expressions with Rational Exponents
Example 4
Evaluate each expression using a calculator. Round your answer to two decimal places.

8. Solving Equations Using nth roots
Example 5

9. Example 6

10. Example 7
A hospital purchases a machine for $4000. The hospital expects the useful life of the machine to be 20 years, at which time its value will have depreciated to $2000. The hospital uses the declining balances method for depreciation, so the annual depreciation rate, r, is given by formula
What annual depreciation rate did the hospital use?