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

Slides:

Advertisements

Similar presentations

Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.

Advertisements

6-3: Complex Rational Expressions complex rational expression (fraction) – contains a fraction in its numerator, denominator, or both.

Section P3 Radicals and Rational Exponents

Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.

Rational Exponents In other words, exponents that are fractions.

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.

Section 10.3 – 10.4 Multiplying and Dividing Radical Expressions.

Warm Up Simplify (10²)³

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

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

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

Rational Exponents Fraction Exponents.

Do Now: Solve for x in the following equation: Hint: and.

Aim: How do we work on the expression with fractional exponent? Do Now: Simplify: HW: p.297 # 20,26,32,44,48,50,54,64,66,68.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.

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.

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.

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

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

Radical Functions and Rational Exponents

5-7 Rational Exponents Objectives Students will be able to:

Properties and Rules for Exponents Properties and Rules for Radicals

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.

Simplifying with Rational Exponents Section 6-1/2.

Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents.

6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Complex Fractions.

5-7 Rational Exponents Objectives Students will be able to:

INTEGRALS – Negative Exponents. ** used the power rule INTEGRALS – Negative 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.

Holt Algebra Division Properties of Exponents 7-4 Division Properties of Exponents Holt Algebra 1 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson.

Rewrite With Fractional Exponents. Rewrite with fractional exponent:

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

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

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

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.

Algebra II 6.2: Apply Properties of Rational Exponents Quiz Tuesday 2/28:

Rational (Fraction) Exponent Operations The same operations of when to multiply, add, subtract exponents apply with rational (fraction) exponents as did.

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

5.7 Rational Exponents Fraction Exponents.

Unit #2 Radicals.

Operations with Rational (Fraction) Exponents

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.

Rational Exponents.

5.7 Rational Exponents Fraction Exponents.

How would we simplify this expression?

In other words, exponents that are fractions.

Properties of Exponents

7-5 Rational Exponents Fraction Exponents.

Objectives Rewrite radical expressions by using rational exponents.

5.7 Rational Exponents Fraction Exponents.

7.6 Rational Exponents.

Exponent Rules.

1.4 Rational Exponents.

5.7 Rational Exponents 1 Rules 2 Examples 3 Practice Problems.

Algebra JEOPARDY Jeopardy!.

5.2 Properties of Rational Exponents and Radicals

1.2 Multiply and Divide Radicals

3.2 (Green) Apply Properties of Rational Exponents

Section 7.2 Rational Exponents

Presentation transcript:

Rational Exponents

Rational Exponent  “Rational” relates to fractions  Rational exponents mean having a fraction as an exponent. Each part of the fraction (numerator and denominator) have a specific meaning. Numerator => Exponent!! Denominator => Index

Rational Exponents  Write the following expression as a radical  What is your base/radicand? x  What is your exponent? 3  What is your index? 2

Rational Exponents Rewrite the following expression as a radical: Simplify:

Rational Exponents Rewrite the following expression as a radical: Base? Exponent? Index? Base is 3y. Exponent is 1. Index is 3.

Rational Exponents Rewrite the following radical expression using rational exponents: Base? Exponent? Index? There are two bases: 24 and x 24: exponent is 1 & index is 4 x : exponent is 2 & index is 4

Examples:

More Examples: or

Examples: or Negative Rational Exponents

Use the properties of exponents to simplify each expression

Rational Exponents Rewrite the following expression using a single radical: To be in the same radical they have to have the same index (denominator). Find a common denominator!! The CD would be 6 Now rewrite using a radical with an index of 6. Remember which exponent goes with which base!

Rational Exponents Simplify!!