Section 2.3 Fractional Exponents

Slides:

Advertisements

Similar presentations

Roots & Radical Exponents By:Hanadi Alzubadi.

Advertisements

Nth Root and Rational Exponents Section 7.1. WHAT YOU WILL LEARN: 1.How to evaluate nth roots of real numbers using both radical notation and rational.

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.

9-1 Square Roots Find the square root for each. 1.) 25 2.) 49 The square root sign is also called a radical. The radical sign represents a nonnegative.

Radical (Square Roots) Algebra I. What is a radical? An expression that uses a root, such as square root, cube root.

Course Look for a Pattern in Integer Exponents Lesson 7-1 Negative & Zero.

7.1 nth Roots and Rational Exponents 3/1/2013. n th Root Ex. 3 2 = 9, then 3 is the square root of 9. If b 2 = a, then b is the square root of a. If b.

Section 1Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Radical Expressions and Graphs Find roots of numbers. Find.

1 7.1 and 7.2 Roots and Radical Expressions and Multiplying and Dividing Radical Expressions.

Copyright © Cengage Learning. All rights reserved. 0 Precalculus Review.

HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: Developmental.

Appendix:A.2 Exponents and radicals. Integer Exponents exponent base.

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.

6.1 Evaluate n th Roots & use Rational Exponents I.. Evaluating n th roots. A) n th roots are radicals to the n th index. B) Use the Church of Square Roots.

Radicals without Calculators

Lesson 8-6B Use Cube Roots and Fractional Exponents After today’s lesson, you should be able to evaluate cube roots and simplify expressions with fractional.

Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.

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

Simplified Radical Form Objective: 1)Describe simplified Radical Form 2)Simplify radical expressions by a) Factoring out perfect squares b) Combine Like.

Ch 8: Exponents D) Rational Exponents

Warm-up Simplify each expression

Copyright © 2011 Pearson Education, Inc. Rational Exponents and Radicals Section P.3 Prerequisites.

Exponents and Radicals Section 1.2. Objectives Define integer exponents and exponential notation. Define zero and negative exponents. Identify laws of.

Warm Up:. 5.1 Notes: nth Roots and Rational Exponents.

Bellwork. Survey results:  Students who voted for online homework: 84%  Students who voted for paper homework: 16%  Students who wants to keep group.

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.

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

1 Bell Work - BW Use the properties of exponents to simplify each expression. a. (–3ab 4 )(4ab –3 ) b. (2xy 2 ) 3 c. 3a(–4a 2 ) 0 d.

Section 7.1 Rational Exponents and Radicals.

5.7 Rational Exponents Fraction Exponents.

Simplifying Radical Expressions

Nth roots and Rational Exponents

Objective: Evaluate expressions with rational exponents.

Section 9.2 Rational Exponents.

Rational Exponents.

5.7 Rational Exponents Fraction Exponents.

Exponents and Radicals

Radical Operations Unit 4-3.

Rational Exponents Section 6.1

Write each fraction as a decimal.

Evaluate nth Roots and Use Rational Exponents

4 minutes Warm-Up Identify each transformation of the parent function f(x) = x2. 1) f(x) = x ) f(x) = (x + 5)2 3) f(x) = 5x2 4) f(x) = -5x2 5)

7.5 Solving Radical Equations

Section 1.2 Exponents & Radicals

Section 5.2 Multiplying, Dividing, and Rationalizing Radicals:

Section 6.1 Simplifying Rational Expressions and NPV’s

You are probably familiar with finding the square root of a number

Objectives Rewrite radical expressions by using rational exponents.

Math 11 algebra Review ©Copyright All Rights Reserved to Homework Depot at

Section 7.4 Reciprocal Functions

Section 6.3 Adding and Subtracting Rational Expressions

Objectives Rewrite radical expressions by using rational exponents.

Section 5.3 Solving Radical Functions

5.7 Rational Exponents Fraction Exponents.

Section 6.2 Multiplying and Dividing Rational Expressions

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.

Radicals and Radical Functions

Section 9.2 Solving Inequalities with Squares

Section 2.2 Zero and Negative Exponents

Section 2.1 Solving for Exponents Worksheet

Section 2.5 Operations with Radicals

Section 7.1 Radical Expressions

Radicals and Radical Functions

Section 7.2 Rational Exponents

7.1 Roots and Rational Exponents

Section 5.1 Basics with Radicals

Section 2.6 Rationalizing Radicals

Write each fraction as a decimal.

Assignment 1.2 Irrational and Rational Numbers

Section 1.3 Prime Factorization

Presentation transcript:

Section 2.3 Fractional Exponents © Copyright all rights reserved to Homework depot: www.BCMath.ca

I) Squares and Cubes © Copyright all rights reserved to Homework depot: www.BCMath.ca

I) Revisit: Note: With all these rules, the Exponents are Integers! Ie: -1, -2, -3, -4, 0, 1, 2, ,3 ,4 ,…… © Copyright all rights reserved to Homework depot: www.BCMath.ca

Fractional Exponents: When dealing with fractional exponents, the exponent is a fraction The denominator indicates the ‘nth’ for the base If the exponent is negative, we take the reciprocal of the “base” (NOT the exponent!!) © Copyright all rights reserved to Homework depot: www.BCMath.ca

The numerator in the exponent is the “power” Again, if the exponent is negative, we take the reciprocal of the “base” (NOT the exponent!!) © Copyright all rights reserved to Homework depot: www.BCMath.ca

Remember: Flower  Power, Root  Root The flower is at the top, FLOWER – POWER Roots are at the bottom, ROOTS – ROOTS © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Determine the exact value without a calculator © Copyright all rights reserved to Homework depot: www.BCMath.ca

What are Radicals? Radicals are numbers with a root sign or when the exponent is a fraction Square Root   Cube Root   Forth Root   Higher Roots   © Copyright all rights reserved to Homework depot: www.BCMath.ca

II) Square Root of a Number When finding the square root of a number, do the opposite of “squaring” it Ex: Find the square root of each number © Copyright all rights reserved to Homework depot: www.BCMath.ca

III) Cube Root of a Number When cube rooting a number, find a number that is equal to it when cubed Ex: Find the cube root of each number © Copyright all rights reserved to Homework depot: www.BCMath.ca

III) nth Root of a Number Ex: Simplify each of the following without a calculator: © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Simplify the following: © Copyright all rights reserved to Homework depot: www.BCMath.ca

Ex: Given that the volume of a cube is 1728cm3, find the length of each side © Copyright all rights reserved to Homework depot: www.BCMath.ca

III) Simplifying Radical Expressions © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Simplify © Copyright all rights reserved to Homework depot: www.BCMath.ca

Challenge: Solve for “k”

Homework: Assignment 2.3