Simplifies expressions with rational exponents..pptx

Simplifying expressions with rational exponents

1. Directions: Apply the laws of exponents to the following expressions. ACTIVITY 1: Let’s Recall

2. Simplifying Expressions with Rational Exponents

3. Given several activities, the Grade 9 students are expected to; a. define expressions with rational exponents b. simplifies expressions with rational exponents OBJECTIVES

4. The expressions above are expressions with rational exponents . Rational numbers are real numbers that can be written in the form , where a and b are integers and   Rational Exponents

5. Directions: Simplify the following expressions by using the rules for integer exponents. One example is worked out for you. 1. 2. 3. 4. 5. ACTIVITY 2: Make Me Simple

6. QUESTIONS: 1. If rules for integer exponents are applied to rational exponents, how can you simplify ? 2. If rules for integer exponents are applied to rational exponents, how can you simplify ?  

7. Let m and n be positive integers. Then and are defined as follows. , provided that is defined. Examples: is not defined because is not defined. 2. , provided that .       Simplifying Expressions with Rational Exponents

8. Directions: Fill in the missing parts of the solution in simplifying expressions with rational exponents. Then answer the process below. ACTIVITY 3: Fill-Me-In

9. Directions: Fill in the missing parts of the solution in simplifying expressions with rational exponents. Then answer the process below. ACTIVITY 3: Fill-Me-In

10. QUESTIONS: 1. Based on the activity, how do you simplify expressions involving rational exponents? 2. What are the necessary skills in simplifying expressions with rational exponents?

11. Laws of exponents for integral exponents may be used in simplifying expressions with rational exponents Note: Some real numbers raised to a rational exponents, such as are not real numbers.   Simplifying Expressions with Rational Exponents

12. Directions: Simplify the following expressions with rational exponents. 1. 2. 3. 4. 5. ACTIVITY 4: Simplify Me

13. Directions: Simplify the following expressions with rational exponents. ACTIVITY 4: Simplify Me

14. GENERALIZATIONS 1. How do we define expressions with rational exponents? 2. How do you simplify expressions with rational exponents? 3. What mathematical concepts are important in simplifying expressions with rational exponents? 4. What are the needed knowledge and skills to remember in simplifying expressions with rational exponents?

15. SHORT QUIZ Directions: Simplify the following expressions with rational exponents. Given Solution and Final Answer 1. 2. 3. 4. 5.

16. ASSIGNMENT Directions: Simplify the following expressions with zero, negative integral, positive integral and rational exponents.