7.2 – Rational Exponents The value of the numerator represents the power of the radicand. The value of the denominator represents the index or root of.

Slides:

Advertisements

Similar presentations

Homework: pages , 29, 35, 43, 47, 49, odd, odd, 75, 79, odd.

Advertisements

Warm Up Simplify each expression

Section P3 Radicals and Rational Exponents

1)Be able to apply the quotient of powers property. 2)Be able to apply the power of a quotient property. 3)Be able to apply the multiplication properties.

7.1 – Radicals Radical Expressions

Review: Laws of Exponents Questions Q: 4 0 =? A: 1 Q: 4 1 =? A: 4 Q: 4 1/2 =? A: Let’s square the number (4 1/2 ) 2 =? (4 1/2 ) 2 = 4 1 = 4 Recall: b.

Section 10.3 – 10.4 Multiplying and Dividing Radical Expressions.

7.1/7.2 Nth Roots and Rational Exponents

WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4.

Objectives: 1.Be able to simplify expressions by applying the Rules of exponents Critical Vocabulary: Product of Powers Property Power of a Power Property.

6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.

Table of Contents Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the.

Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the rational exponent.

Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.

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

Simplifying Radical Expressions Chapter 10 Section 1 Kalie Stallard.

Simplify Radical Expressions. EQs…  How do we simplify algebraic and numeric expressions involving square root?  How do we perform operations with square.

7.7 Operations with Radicals.  A or of radicals can be simplified using the following rules.  1. Simplify each in the sum.  2. Then, combine radical.

Including Rationalizing The Denominators. Warm Up Simplify each expression

6.3 Binomial Radical Expressions P You can only use this property if the indexes AND the radicands are the same. This is just combining like terms.

Multiplying and Dividing Radicals The product and quotient properties of square roots can be used to multiply and divide radicals, because: and. Example.

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.

Ch 8: Exponents D) Rational Exponents

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.

Review Square Root Rules

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

Properties and Rules for Exponents Properties and Rules for Radicals

Rational Exponents Rules Examples Practice Problems.

§ 7.4 Adding, Subtracting, and Dividing Radical Expressions.

Rational Exponents. Rational Exponent  “Rational” relates to fractions  Rational exponents mean having a fraction as an exponent. Each part of the fraction.

6-1 Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Solve rational exponent.

3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors.

7.4 Dividing Radical Expressions  Quotient Rules for Radicals  Simplifying Radical Expressions  Rationalizing Denominators, Part

 A radical expression is an expression with a square root  A radicand is the expression under the square root sign  We can NEVER have a radical in the.

7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.

 Simplify then perform the operations indicated….

Sections 8.1 and 8.2 Radical Expressions Rational Exponents.

Rational Exponents Algebra Fractional Exponents (Powers and Roots) “Exponent of the Radicand” “Index”

Warm Up Simplify each expression

Dividing Monomials.

Section 7.5 Expressions Containing Several Radical Terms

7.1 – Radicals Radical Expressions

6-1 Radical Functions & Rational Exponents

Operations with Rational (Fraction) Exponents

Do-Now: Simplify (using calculator)

Rational Exponents.

Simplifying Radical Expressions

Unit 3B Radical Expressions and Rational Exponents

Radicals Radical Expressions

4.5 Solving Quadratic Equations by Finding Square Roots

7-5 Rational Exponents Fraction Exponents.

6.1 Nth Roots and Rational Exponents

Objectives Rewrite radical expressions by using rational exponents.

1.4 Rational Exponents.

5.7 Rational Exponents 1 Rules 2 Examples 3 Practice Problems.

5.2 Properties of Rational Exponents and Radicals

1.2 Multiply and Divide Radicals

3.2 (Green) Apply Properties of Rational Exponents

7.1 – Radicals Radical Expressions

Apply Properties of Rational Exponents

7-4 Division Properties of Exponents

The radicand can have no perfect square factors (except 1)

3.2 Apply Properties of Rational Exponents

P.3 Radicals and Rational Exponents

Unit 1 Day 3 Rational Exponents

7.1 – Radicals Radical Expressions

Presentation transcript:

7.2 – Rational Exponents The value of the numerator represents the power of the radicand. The value of the denominator represents the index or root of the expression. Examples:

7.2 – Rational Exponents More Examples: or

7.2 – Rational Exponents or or Examples: or

7.2 – Rational Exponents Use the properties of exponents to simplify each expression

7.3 – Simplifying Rational Expressions Product Rule for Square Roots Examples:

7.3 – Simplifying Rational Expressions Quotient Rule for Square Roots Examples:

7.3 – Simplifying Rational Expressions

7.3 – Simplifying Rational Expressions Examples:

7.3 – Simplifying Rational Expressions Examples:

7.3 – Simplifying Rational Expressions The Final Fabulous Fun Example 2 𝑥 2 𝑦 4 𝑧 3 1 5 2 𝑥 2 𝑧 3 2 1 5 𝑥 2 5 𝑦 4 5 𝑧 3 5 2 𝑥 2 𝑧 3 2 6 5 𝑥 12 5 𝑦 4 5 𝑧 18 5