Rational Expon ents and Radicals By: Jeffrey Bivin Lake Zurich High School Last Updated: December 11, 2007.

Slides:



Advertisements
Similar presentations
Trig (Polar) Form of a Complex Number
Advertisements

Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.
Determinants of 2 x 2 and 3 x 3 Matrices By: Jeffrey Bivin Lake Zurich High School
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.
Jeff Bivin -- LZHS Graphing Rational Functions Jeffrey Bivin Lake Zurich High School Last Updated: February 18, 2008.
By: Jeffrey Bivin Lake Zurich High School Last Updated: October 30, 2006.
Arithmetic Sequences & Series Last Updated: October 11, 2005.
Recursive Functions, Iterates, and Finite Differences By: Jeffrey Bivin Lake Zurich High School Last Updated: May 21, 2008.
6.1 n th Roots and Rational Exponents What you should learn: Goal1 Goal2 Evaluate nth roots of real numbers using both radical notation and rational exponent.
Exponential and Logarithmic Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008.
MATRICES Jeffrey Bivin Lake Zurich High School Last Updated: October 12, 2005.
THE UNIT CIRCLE Initially Developed by LZHS Advanced Math Team (Keith Bullion, Katie Nerroth, Bryan Stortz) Edited and Modified by Jeff Bivin Lake Zurich.
Properties of Rational Exponents and Radicals
Logarithmic Properties & Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 30, 2008.
Rational Exponents Fraction Exponents.
1 Algebra 2: Section 7.2 Properties of Rational Exponents (Day 1)
Notes Over 7.2 Using Properties of Rational Exponents Use the properties of rational exponents to simplify the expression.
Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.
Exponential and Logarithmic Functions Section 5.4.
Relations and Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: November 14, 2007.
Graphing Lines slope & y-intercept & x- & y- intercepts Jeffrey Bivin Lake Zurich High School Last Updated: September 6, 2007.
Ch 8: Exponents D) Rational Exponents
Systems of Equations Gaussian Elimination & Row Reduced Echelon Form by Jeffrey Bivin Lake Zurich High School Last Updated: October.
GOAL: USE PROPERTIES OF RADICALS AND RATIONAL EXPONENTS Section 7-2: Properties of Rational Exponents.
Jeff Bivin -- LZHS Last Updated: April 7, 2011 By: Jeffrey Bivin Lake Zurich High School
Exponent Quiz Review. Evaluate the expression 4 2  Answer: 16.
By: Jeffrey Bivin Lake Zurich High School
Exponential and Logarithmic Functions By: Jeffrey Bivin Lake Zurich High School Last Updated: January 2, 2006.
Matrix Working with Scalars by Jeffrey Bivin Lake Zurich High School Last Updated: October 11, 2005.
7.4 Rational Exponents Objective: Be able to simplify expressions with rational (fraction) exponents Chapter 7 Test Thursday/Friday!
Rational Exponents. Rational Exponent  “Rational” relates to fractions  Rational exponents mean having a fraction as an exponent. Each part of the fraction.
Warm Up: 1)2). 5.2 Notes: Properties of Rational Exponents and Radicals.
Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents.
Algebra II 6.1: Evaluate nth Roots and Use Rational Exponents.
Chapter 7 Section 4 Rational Exponents. A rational exponent is another way to write a radical expression. Like the radical form, the exponent form always.
Matrix Multiplication. Row 1 x Column X 25 = Jeff Bivin -- LZHS.
Inverses By: Jeffrey Bivin Lake Zurich High School Last Updated: November 17, 2005.
Chapter 6 Review Powerpoint In pairs, use a dry erase board and take turns doing problem a and b.
Section 6-2 Day 1 Apply Properties of Rational Exponents.
Lake Zurich High School
Unit 2 Day 5. Do now Fill in the blanks: is read as “___________________________” The 4 th root can be rewritten as the ________ power. If an expression.
Matrix Multiplication Example 1 Original author: Jeffrey Bivin, Lake Zurich High School.
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.
Lake Zurich High School
Distributive Property
Operations with Rational (Fraction) Exponents
Jeffrey Bivin Lake Zurich High School
Warm Up 1.) List all of the perfect squares up to The first three are done below. 1, 4, 9,… Using a calculator, evaluate which expressions are.
Warm-up.
Rational Exponents and Radicals
Lake Zurich High School
Lake Zurich High School
7-5 Rational Exponents Fraction Exponents.
Jeffrey Bivin Lake Zurich High School
1.4 Rational Exponents.
5.2 Properties of Rational Exponents and Radicals
3.2 (Green) Apply Properties of Rational Exponents
Matrix Multiplication
By: Jeffrey Bivin Lake Zurich High School
Lake Zurich High School
Apply Properties of Rational Exponents
7.4 Rational Exponents.
Exponents and Radicals
8.1 – 8.3 Review Exponents.
3.2 Apply Properties of Rational Exponents
Warm-Up Honors Algebra /16/19
Write each expression by using rational exponents.
Lake Zurich High School
Jeffrey Bivin Lake Zurich High School
Presentation transcript:

Rational Expon ents and Radicals By: Jeffrey Bivin Lake Zurich High School Last Updated: December 11, 2007

Properties of rational Exponents Jeff Bivin -- LZHS

Are these equivalent? Jeff Bivin -- LZHS

Evaluate each Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Now Consider Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Consider Jeff Bivin -- LZHS

One More Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Evaluate Jeff Bivin -- LZHS

Evaluate Don’t forget, even root – we need to use absolute value An even power can come out of the absolute value Jeff Bivin -- LZHS

Evaluate: Jeff Bivin -- LZHS

Evaluate: Jeff Bivin -- LZHS

Evaluate: Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Express using Rational Exponents Jeff Bivin -- LZHS

Express using Rational Exponents Jeff Bivin -- LZHS

Express using Rational Exponents Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From 2 Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From

Jeff Bivin -- LZHS 2

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS

Express in Simplest Radical From Jeff Bivin -- LZHS remember 16 = 2 4

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS

Simplify Jeff Bivin -- LZHS