Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.

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Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.

Transcript of Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.

Properties of Rational Exponents

Properties of Rational ExponentsLesson 7.2Goal: Use properties of radicals and rational exponents.Warm-upSimplify the expression:

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Properties of RadicalsProduct and Quotient Properties of RadicalsProduct Property: Quotient Property:

Examples - Use properties of radicals to simplify:

Properties of Exponents - RevisitedProperties of Rational ExponentsLet a and b be positive real numbers. Let m and n be rational numbers.

Use the properties of rational exponents to simplify:1. 2. 3. 4.

Add or Subtract Like RadicalsTwo radicals are like radicals if they have the same index and the same radicand. Simplify:

Simplifying variable expressions:You can apply the properties of radicals to expressions involving variables. When the value of a variable is negative, you may need to use the absolute value to find the nth root.

Simplify:

Simplifying variable expressions:You can apply the properties of radicals to expressions involving variables. When the value of a variable is negative, you may need to use the absolute value to find the nth root.

Simplify:

Assignmentpp. 362-36321-72 (multiples of 3)80-82


1.5 Radicals & Rational Exponents

1.5 Radicals & Rational Exponents

Adapted from Walch Education Rational exponents are another way to write radical expressions. the rules and properties that apply to integer exponents.

Adapted from Walch Education Rational exponents are another way to write radical expressions. the rules and properties that apply to integer exponents.

n th Root & Rational Exponents

n th Root & Rational Exponents

COLLEGE ALGEBRA - WichitaInteger Exponents – In this section we will start looking at exponents and their properties. Rational Exponents – We will define rational exponents in

COLLEGE ALGEBRA - WichitaInteger Exponents – In this section we will start looking at exponents and their properties. Rational Exponents – We will define rational exponents in

7.2 Rational Exponents Rational Exponents Exponential Expressions – Variables in Bases Rational Exponents with Numerators > 1 Negative Rational.

7.2 Rational Exponents Rational Exponents Exponential Expressions – Variables in Bases Rational Exponents with Numerators > 1 Negative Rational.

7.2 Properties of Rational Exponents 3/4/2013. Example 1 Use Properties of Rational Exponents a. 6 2/3 6 1/3 = 6 (2/3 + 1/3) = 6 3/3 = 6161 = 6 b. (3.

7.2 Properties of Rational Exponents 3/4/2013. Example 1 Use Properties of Rational Exponents a. 6 2/3 6 1/3 = 6 (2/3 + 1/3) = 6 3/3 = 6161 = 6 b. (3.

P3. Radicals and Rational Exponents

P3. Radicals and Rational Exponents

Section 7.3 Rational Exponents

Section 7.3 Rational Exponents

7.2 properties of rational exponents

7.2 properties of rational exponents

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

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

Section 10.5 Rational Exponents and Radicals. 10.5 Lecture Guide: Rational Exponents and Radicals Objective 1: Interpret and use rational exponents.

Section 10.5 Rational Exponents and Radicals. 10.5 Lecture Guide: Rational Exponents and Radicals Objective 1: Interpret and use rational exponents.

Rational Exponents and Radicals Definition of b 1/n Definition of b m/n Definition of Rational Exponents Definition of √b Definition of (√b) m Properties.

Rational Exponents and Radicals Definition of b 1/n Definition of b m/n Definition of Rational Exponents Definition of √b Definition of (√b) m Properties.

Section 9.5 Rational Exponents and Radicals. 9.5 Lecture Guide: Rational Exponents and Radicals Objective: Interpret and use rational exponents.

Section 9.5 Rational Exponents and Radicals. 9.5 Lecture Guide: Rational Exponents and Radicals Objective: Interpret and use rational exponents.

Properties of Rational Exponents

Properties of Rational Exponents

5.7 – Rational Exponents -Basic concept -Converting from rational exponent to radical form -Evaluating expressions with rational exponents -Simplifying.

5.7 – Rational Exponents -Basic concept -Converting from rational exponent to radical form -Evaluating expressions with rational exponents -Simplifying.

Rational Exponents 10.2 1.Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational.

Rational Exponents 10.2 1.Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational.

6-3: Rational Exponents Unit 6: Rational /Radical Equations.

6-3: Rational Exponents Unit 6: Rational /Radical Equations.

10.2 Rational Exponents

10.2 Rational Exponents

A5 - Rational Exponents VJ

A5 - Rational Exponents VJ

ADVANCED ALGEBRA II CHAPTER 6 RATIONAL …€¦ · chapter 6 – rational exponents and radical functions 6.1 evaluate nth roots and use rational exponents ... properties of radicals

ADVANCED ALGEBRA II CHAPTER 6 RATIONAL …€¦ · chapter 6 – rational exponents and radical functions 6.1 evaluate nth roots and use rational exponents ... properties of radicals