Objectives: Students will be able to… Use properties of rational exponents to evaluate and simplify expressions Use properties of rational exponents to.

Slides:

Advertisements

Similar presentations

Section 7.3 Addition, Subtraction, Multiplication & Division with

Advertisements

Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.

Simplifying Radical Expressions Product Property of Radicals For any numbers a and b where and,

Section P3 Radicals and Rational Exponents

6.4 Addition, Subtraction, and more multiplication.

Objective: 7.2 Properties of Rational Exponents1 Homework Answers / / / /

Properties of Rational Exponents Section 7.2. WHAT YOU WILL LEARN: 1. Simplify expressions with rational exponents. 2. Use properties of rational exponents.

Section 10.3 – 10.4 Multiplying and Dividing Radical Expressions.

Write out on the board how to do them using radicals!!! The PP has how to solve using powers….you show how to use radicals!!! 1.

Rational Exponents and Radicals

Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,

Properties of Rational Exponents and Radicals

Section 10.5 Expressions Containing Several Radical Terms.

R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

Notes Over 7.2 Using Properties of Rational Exponents Use the properties of rational exponents to simplify the expression.

Properties of Rational Exponents

Radicals Simplify radical expressions using the properties of radicals

6.3 Simplifying Radical Expressions In this section, we assume that all variables are positive.

Chapter P Prerequisites: Fundamental Concepts of Algebra 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.3 Radicals and Rational Exponents.

Exponents and Radicals Objective: To review rules and properties of exponents and radicals.

Simplifying Radical Expressions Simplifying Radicals Radicals with variables.

EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?

3.2 Apply Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.

GOAL: USE PROPERTIES OF RADICALS AND RATIONAL EXPONENTS Section 7-2: Properties of Rational Exponents.

Powers, Roots, & Radicals OBJECTIVE: To Evaluate and Simplify using properties of exponents and radicals.

Rational Exponents Rules Examples Practice Problems.

7-2 Properties of Rational Exponents (Day 1) Objective: Ca State Standard 7.0: Students add, subtract, multiply, divide, reduce, and evaluate rational.

Warm Up: 1)2). 5.2 Notes: Properties of Rational Exponents and Radicals.

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

5-6 Radical Expressions Objectives Students will be able to: 1)Simplify radical expressions 2)Add, subtract, multiply, and divide radical expressions.

Chapter 7 – Powers, Roots, and Radicals 7.2 – Properties of Rational Exponents.

Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions.

3.4 Simplify Radical Expressions

5-5 ROOTS OF REAL NUMBERS Objective: Students will be able to simplify radicals.

Section 11.2B Notes Adding and Subtracting Radical Expressions Objective: Students will be able to add and subtract radical expressions involving square.

Chapter R Section 7: Radical Notation and Rational Exponents

7.2 Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.

Rational (Fraction) Exponent Operations The same operations of when to multiply, add, subtract exponents apply with rational (fraction) exponents as did.

 Warm-Up.  Homework Questions  EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice.

Radicals. Parts of a Radical Radical Symbol: the symbol √ or indicating extraction of a root of the quantity that follows it Radicand: the quantity under.

5.2 Apply Properties of Rational Exponents

6.2 Multiplying and Dividing Radical Expressions

Unit #2 Radicals.

Adding, Subtracting, and Multiplying Radical Expressions

6.3 Binomial Radical Expressions

Operations with Rational (Fraction) Exponents

The exponent is most often used in the power of monomials.

Adding, Subtracting, and Multiplying Radical Expressions

Simplifying Radical Expressions

Adding, Subtracting, and Multiplying Radical Expressions

Simplifying Radical Expressions

Simplifying Radical Expressions

Unit 1 Algebra 2 CP Radicals.

Objectives Rewrite radical expressions by using rational exponents.

Simplify Radical Expressions

Properties of Radicals

1. What is the difference between simplifying an expression and solving an expression? 2. -(3x+5)-4x x-7=13 4. x/2 +4 =16 5. Write the following.

5.2 Properties of Rational Exponents and Radicals

3.2 (Green) Apply Properties of Rational Exponents

Apply Properties of Rational Exponents

Section 7.2 Rational Exponents

3.2 Apply Properties of Rational Exponents

Simplifying Radical Expressions

Adding, Subtracting, and Multiplying Radical Expressions

Simplifying Radical Expressions

Adding, Subtracting, and Multiplying Radical Expressions

Presentation transcript:

Objectives: Students will be able to… Use properties of rational exponents to evaluate and simplify expressions Use properties of rational exponents to evaluate and simplify expressions

 Examples: THE PROPERTIES OF EXPONENTS WE LEARNED IN SECTION 6.1 ARE THE SAME FOR RATIONAL EXPONENTS!!!

 Simplify:

 Using Properties of Radicals to Simplify

 For a radical to be in simplest form, you must remove any perfect n th powers (other than 1) and rationalize any denominators Multiply top and bottom by a quantity that will make the denominator a perfect 4 th power.

 Write in simplest form.

  Can only add or subtract radical expressions if they are like radicals (just like combining like terms!!)  Examples: 1.) 2.) Like Radicals : same index, same radicand

 You try…Perform indicated operation

  Rewrite radicand so exponents match index, if possible  Take out any expressions that match the index  Can apply any rule of exponents Simplifying Radicals with Variables (assume all variables positive)

 Examples: Simplify

 Write the expression in simplest form. Make denominator perfect 5 th root…multiply by h 3 on top and bottom

 You try!! Simplify

 Challenge…Simplify

  Perform indicated operation. Assume all variables positive. To add or subtract radical expressions involving variables, you also need like radicals (may need to simplify first!!) NOT LIKE RADICALS!!

 You try…perform indicated operation.