1. Rational Exponents

2. Rational Exponent  “Rational” relates to fractions  Rational exponents mean having a fraction as an exponent. Each part of the fraction (numerator and denominator) have a specific meaning. Numerator => Exponent!! Denominator => Index

3. Rational Exponents  Write the following expression as a radical  What is your base/radicand? x  What is your exponent? 3  What is your index? 2

4. Rational Exponents Rewrite the following expression as a radical: Simplify:

5. Rational Exponents Rewrite the following expression as a radical: Base? Exponent? Index? Base is 3y. Exponent is 1. Index is 3.

6. Rational Exponents Rewrite the following radical expression using rational exponents: Base? Exponent? Index? There are two bases: 24 and x 24: exponent is 1 & index is 4 x : exponent is 2 & index is 4

7. Examples:

8. More Examples: or

9. Examples: or Negative Rational Exponents

10. Use the properties of exponents to simplify each expression

11. Rational Exponents Rewrite the following expression using a single radical: To be in the same radical they have to have the same index (denominator). Find a common denominator!! The CD would be 6 Now rewrite using a radical with an index of 6. Remember which exponent goes with which base!

12. Rational Exponents Simplify!!