1. Unit 1 Day 3 Rational Exponents
Objectives: Simplify a rational expression with radicals by rationalizing the denominator (include applying the conjugate). Rewrite and evaluate a radical with rational exponents, and a number with a rational exponent in radical notation. Use properties of rational exponents to evaluate and simplify expressions.
Standards:
Supplementary Reading:

2. Warmup
Convert the following into exponential or radical form.
Query Question: Turn the following Root into a Rational exponent

3. Important Vocabulary Radical Radicand Index Root Rational Exponent
Denominator
Numerator
Rationalize
Conjugate
Square
Cube

4. Simplifying Radicals
Radical Expressions have rules to follow in order to be simplified.
1.) cannot have perfect number factors.
2.) cannot have fraction under radical.
3.) cannot have radical numbers in denominator.
**May need to multiply by conjugate**
**Using DOSquares or S&DOCubes**

5. Examples

6. Examples

7. Examples

9. Simplifying Rational Exponents
Rational Exponents follow the same rules as radicals and integer exponents.
1.) cannot have rational exponents in denominator
2.) cannot have fraction as base of rational exponent.
3.) cannot have negative exponents

10. Operating W/ Rational Exponents

11. Check For Understanding
Simplify
Answer
Answer

12. Problem 1
Example1:

13. Problem 2
Example 2:

14. Partner Work

15. Partner Work

16. Closure
Simplify the following expression.
Homework: None!

17. Unit 1 test question
How do properties of roots relate to laws of exponents