1. Module 3 :Lesson 3.1 Understanding Rational Exponents and Radicals
Lesson Performance Task: Carbon-14 dating is used to determine the age of archeological artifacts of biological origin, such bone, wood, or plant fibers. This method works by determining the fraction of Carbon-14 that remains in an object and can be expressed as
Where t is the length of time in years since the organism died. We’ll look at this further once we understand rational exponents better.

2. Exponential Notation

3. Radical Notation

4. Rules of Exponents

5. Changing From Radical Form to Exponential Form and Vice Versa

6. Change each from radical notation to exponential notation or vice versa.
The rule when you have an exponent raised to an exponent is to multiple exponents.

7. You Try

8. Elaborate: Why can you evaluate an odd index with any radicand, but an even index requires a nonnegative radicand?

10. What percent of Carbon-14 would you expect to find in a sample that was
5,700 years
11,400 years
17,100 years
Why do you suppose 5,700 years is called the “half life” of Carbon-14?