5.7 Rational Exponents Fraction Exponents.

Slides:

Advertisements

Similar presentations

Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 28-31, 65, 66, 67, 69, 70, 71, 75, 89, 90, 92, 95, 102, 103, 127.

Advertisements

Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 17, 23-26, 28-31, 44, 51, 52, 57, 58, 65, 66, 67, 69, 70, 71, 75, 77, 79, 81, 84, 86, 89, 90, 92,

What are the rules of integral exponents?

5.6 Radical Expressions Rationalizing the denominator Like radical expressions Conjugates.

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.

5.7 Rational Exponents Fraction Exponents.

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

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.

Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.

Notes Over 9.4 Simplifying a Rational Expression Simplify the expression if possible. Rational Expression A fraction whose numerator and denominator are.

Exponent Rules. Simplify each algebraic expression. Do NOT leave negative exponents.

Rational Exponents Fraction Exponents.

Section 7.2 So far, we have only worked with integer exponents. In this section, we extend exponents to rational numbers as a shorthand notation when using.

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.

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.

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

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

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

Ch 8: Exponents D) Rational Exponents

9.4 Multiplying and Dividing Rational Expressions -To multiply and divide rational expressions. -Use rational expressions to model real life quantities.

Chapter 8 Section 7. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Using Rational Numbers as Exponents Define and use expressions.

Rational Exponents Rules Examples Practice Problems.

Radicals Rational Exponents

Start Up Day 37 12/11 Simplify Each Expression. 6-4 Rational Exponents In other words, exponents that are fractions.

Use definition of zero and negative exponents

7-2 Properties of Rational Exponents (Day 1) Objective: Ca State Standard 7.0: Students add, subtract, multiply, divide, reduce, and evaluate rational.

Simplifying with Rational Exponents Section 6-1/2.

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.

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.

Drill #67: Rationalize the denominators. (33.) Rational Exponents Definition: For any non-zero real b, and any integers m and n, with n > 1, Except when.

Exponents. 1. Relate and apply the concept of exponents (incl. zero). 2. Perform calculations following proper order of operations. 3. Applying laws of.

Rational (fraction) Exponents Please READ as well as take notes & complete the problems followed in these slides.

 Warm-Up.  Homework Questions  EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice.

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

Section 7.1 Rational Exponents and Radicals.

Adding and Subtracting Rational Expressions

Radical Expressions and Rational Exponents

Section 9.2 Rational Exponents.

Rational Exponents.

5.7 Rational Exponents Fraction Exponents.

In other words, exponents that are fractions.

Rational Exponents Section 6.1

Warm Up. Simplify the following. Hand in.

Radicals and Rational Exponents

Evaluate nth Roots and Use Rational Exponents

Chapter 8 – Roots, Radicals and Rational Functions

Fractional Exponents CA 2.0.

7-5 Rational Exponents Fraction Exponents.

Objectives Rewrite radical expressions by using rational exponents.

5.7 Rational Exponents Fraction Exponents.

Integer Exponents CA 2.0.

Exponent Rules.

1.4 Rational Exponents.

In other words, exponents that are fractions.

5.7 Rational Exponents 1 Rules 2 Examples 3 Practice Problems.

Exponents and Radicals review: Chapter 1

Negative and Zero Exponents

Objective - To multiply integers.

3.2 (Green) Apply Properties of Rational Exponents

Section 7.2 Rational Exponents

Warm-Up Honors Algebra /16/19

P.3 Radicals and Rational Exponents

In other words, exponents that are fractions.

Unit 1 Day 3 Rational Exponents

Presentation transcript:

5.7 Rational Exponents Fraction Exponents

Radical expression and Exponents By definition of Radical Expression. The index of the Radical is 3.

How would we simplify this expression? What does the fraction exponent do to the number? The number can be written as a Radical expression, with an index of the denominator.

The Rule for Rational Exponents

Write in Radical form

Write in Radical form

Write each Radical using Rational Exponents

Write each Radical using Rational Exponents

What about Negative exponents Negative exponents make inverses.

What if the numerator is not 1 Evaluate

What if the numerator is not 1 Evaluate

What if the numerator is not 1 Evaluate

For any nonzero real number b, and integer m and n Make sure the Radical express is real, no b<0 when n is even.

Simplify each expression No fraction in the denominators.

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Homework Page 261 – 262 # 21 – 61 odd, 65

Homework Page 261 # 22 – 62 even