3.2 (Green) Apply Properties of Rational Exponents

Slides:

Advertisements

Similar presentations

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

Advertisements

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

Section P3 Radicals and Rational Exponents

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

Ch 8 - Rational & Radical Functions Simplifying Radical Expressions.

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

5.6 Radical Expressions Rationalizing the denominator Like radical expressions Conjugates.

7.1/7.2 Nth Roots and Rational Exponents

Chapter 6 Radical Functions and Rational Exponents.

Exponents and Radicals Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Repeated multiplication can be written in.

9.2 Students will be able to use properties of radicals to simplify radicals. Warm-Up  Practice Page 507 – 508 l 41, 42, 45, 46, 55, 57, 59, 65.

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

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.

Properties of Rational Exponents

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.

Simplifying Radical Expressions Introduction to Square Roots.

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.

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.

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

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

Warm-up Simplify each expression

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

Properties and Rules for Exponents Properties and Rules for 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.

HW: Pg #30-60e. NUMBER THEORY Perfect Squares and Perfect Cubes SMART Notebook Practice.

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

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

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

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

3.4 Simplify Radical Expressions

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

Section 6-2 Day 1 Apply Properties of Rational Exponents.

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.

Algebra 1 Section 9.2 Simplify radical expressions

6-1 Radical Functions & Rational Exponents

6.2 Multiplying and Dividing Radical Expressions

Unit #2 Radicals.

Simplifying Radical Expressions

Use Properties of Radicals to simplify radicals.

Operations with Rational (Fraction) Exponents

Do-Now: Simplify (using calculator)

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.

Simplifying Radical Expressions

Algebra 2/Trig Name: ________________________

4 WARM UP SCIENTIFIC NOTATION Write the number in scientific notation.

1-6 Radicals (Day 1) and Rational Exponents (Day 2)

Simplifying Radical Expressions

Simplifying Radical Expressions

Simplifying Radical Expressions

Unit 1 Algebra 2 CP Radicals.

Simplify Radical Expressions

Algebra 2/Trig Name: ________________________ Unit 2 Study Guide

Properties of Radicals

5.7 Rational Exponents 1 Rules 2 Examples 3 Practice Problems.

5.2 Properties of Rational Exponents and Radicals

Multiplying and Dividing Radical Expressions.

Apply Properties of Rational Exponents

ROOTS & RADICALS.

7.4 Rational Exponents.

3.2 Apply Properties of Rational Exponents

The volume of a beach ball can be approximated using the model where r is the radius of the ball in inches. Estimate the radius of the ball.

Simplifying Radical Expressions

Simplifying Radical Expressions

Unit 1 Day 3 Rational Exponents

Presentation transcript:

3.2 (Green) Apply Properties of Rational Exponents

Vocabulary A radical with index n is in simplest form if the radicand has no perfect nth powers as factors and any denominator has been rationalized. Two radical expressions with the same index and radicand are like radicals. The expressions are called radical conjugates of each other

Example 1: Simplify the expression

Example 2: Simplify the expression

Example 3: Simplify the radical

Example 4: Simplify the expression

Example 5: Simplify the expression

Example 6: Perform the operation

Homework: P. 115 #1-33odd