This document provides a learning activity sheet for students to simplify expressions with rational exponents and write expressions with rational exponents as radicals and vice versa. It introduces rational exponents and provides practice activities for students to complete, simplify expressions, and transform between rational exponents and radicals. The reflection questions ask students about challenges and how they overcame them. Answer keys are provided.

1. LEARNING ACTIVITY SHEET (QUARTER 1, WEEK 4)
SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS AND WRITES
EXPRESSIONS WITH RATIONAL EXPONENTS
AS RADICALS AND VICE VERSA.
Name: ________________________________ Grade & Section: _____________________
I. INTRODUCTORY CONCEPT
II. LEARNING COMPETENCY
K to 12 CG Code: M9AL-Ile-1, M9AL-Ilf-1
After going through this activity sheet, you are expected to simplifies
expressions with rational exponent and writes expressions with rational
exponents as radicals and vice versa.
III. ACTIVITIES A. Let Us Study
SIMPLIFYING EXPRESSIONS WITH RATIONAL EXPONENTS
M A T H E M A T I C S

3. WRITES EXPRESSIONS WITH RATIONAL EXPONENTS
AS RADICALS AND VICE VERSA.
All expressions with rational exponents can be expressed in radical form and these are
called radical expressions.

4. B. Let Us Practice
Practice Activity 1: Complete Me!
Directions: Simplify the following expressions with rational exponents by filling in the
arrows with solutions.

5. Practice Activity 2: Just Make It Simple!
Directions: Simplify the following using your acquired knowledge in rational
exponents. Show your solution.
Practice Activity 3: Transformers
Directions: Transform the given expression with rational exponents to its radical form
and vice versa. Assume that all letters represent positive real numbers.

6. IV. REFLECTION
The knowledge you acquired in the previous lessons is essential in answering the
activities presented. Lessons in Mathematics are interconnected. Did you have a hard
time answering some of the activities? What did you do to overcome?
__________________________________________________________
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V. ANSWER KEY
Practice Activity 1: Complete Me!
Directions: Simplify the following expressions with rational exponents by filling in the
arrows with solutions.

7. Practice Activity 2: Just Make It Simple!
Directions: Simplify the following using your acquired knowledge in rational
exponents. Show your solution.
Practice Activity 3: Transformers
Directions: Transform the given expression with rational exponents to its
radical form and vice versa. Assume that all letters represent positive real
numbers.

8. VI. REFERENCE:
Mathematics Learner’s Material 9, Department of Education, pp.235-243
Intermediate Algebra by Soledad Jose-Dilao, Ed.D. and Julieta Bernabe.
Mathematics 9 Learning Activity Sheets, Department of Education R.O No. 02
Prepared by:
HAROLD P. LAGUILLES
T – I, PILAR NCHS
Reviewed by:
WHENY C. ASTILLERO EMMANUEL BLANQUISCO JENNIFER KNOX
T – III, ABUCAY NHS MT – II, PILAR NCHS HT – I, PILAR NCHS