How would we simplify this expression?

Slides:



Advertisements
Similar presentations
Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions Essential Question: I put my root beer in a square cup… now it’s just beer.
Advertisements

Section 6.2. Example 1: Simplify each Rational Exponent Step 1: Rewrite each radical in exponential form Step 2: Simplify using exponential properties.
Tidewater Community College
Rewrite With Fractional Exponents. Rewrite with fractional exponent:
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.
6.1 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.
11.3 Simplifying Radicals Simplifying Radical Expressions.
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.
Algebra II Rational Exponents Lesson 6.4
Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,
Properties of Rational Exponents and Radicals
Objectives: 1.Be able to simplify expressions by applying the Rules of exponents Critical Vocabulary: Product of Powers Property Power of a Power Property.
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.
Notes Over 7.2 Using Properties of Rational Exponents Use the properties of rational exponents to simplify the expression.
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.
7.2 Properties of Rational Exponents 3/4/2013. Example 1 Use Properties of Rational Exponents a. 6 2/3 6 1/3 = 6 (2/3 + 1/3) = 6 3/3 = 6161 = 6 b. (3.
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.
7.2 Properties of Rational Exponents
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.
Exponents and Radicals Objective: To review rules and properties of exponents and radicals.
Ch 8: Exponents D) Rational Exponents
3.2 Apply 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.
Radical Functions and Rational Exponents
Properties and Rules for Exponents Properties and Rules for Radicals
Rational Exponents Rules Examples Practice Problems.
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.
Rational Exponents Mr. Solórzano – Algebra 1. Objectives To simplify expressions with radical exponents To write radical expressions using rational exponents.
Module 3 Jeopardy Simplifying Radicals Exponent Rules Common Ratios Radicals as exponents Other $100 $200 $300 $400 $500.
6-1 Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Solve rational exponent.
Rewrite With Fractional Exponents. Rewrite with fractional exponent:
Lesson 6.2 Radicals and Rational Exponents Topic/ Objectives To find nth roots To evaluate expressions with rational exponents EQ: How do you write the.
11.3 Solving Radical Equations Definitions & Rules Simplifying Radicals Practice Problems.
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.
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.
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.
Algebra II 6.2: Apply Properties of Rational Exponents Quiz Tuesday 2/28:
Sections 8.1 and 8.2 Radical Expressions Rational Exponents.
Rational (Fraction) Exponent Operations The same operations of when to multiply, add, subtract exponents apply with rational (fraction) exponents as did.
4.3 Rational Exponents 2/1/2013. Cube Root Perfect Cube 1 = = = = = 5 3.
Ch. 7.4 Rational Exponents p Rational Exponents If the nth root of a is a real number and m is an integer, then: and If m is negative, a ≠ 0.
Rational Exponents Algebra Fractional Exponents (Powers and Roots) “Exponent of the Radicand” “Index”
5.7 Rational Exponents Fraction Exponents.
6-1 Radical Functions & Rational Exponents
Rational Exponents Part 2
Operations with Rational (Fraction) Exponents
8.1 Multiplication Properties of Exponents
Review Problems Algebra 1 11-R.
Do Now: Simplify the expression.
5.7 Rational Exponents Fraction Exponents.
Properties of Exponents
Fractional Exponents CA 2.0.
4 Rational Numbers: Positive and Negative Fractions.
7-5 Rational Exponents Fraction Exponents.
Example 1: Finding Real Roots
Objectives Rewrite radical expressions by using rational exponents.
1.4 Rational Exponents.
Unit 1 Day 4 Radical & Rational Exp. Practice
5.7 Rational Exponents 1 Rules 2 Examples 3 Practice Problems.
Apply Properties of Rational Exponents
7.4 Rational Exponents.
Section 7.2 Rational Exponents
Rational (FRACTION) Exponents
8.1 – 8.3 Review Exponents.
Warm-Up Honors Algebra /16/19
Algebra II 7-4 Rational Exponents.
Unit 1 Day 3 Rational Exponents
Presentation transcript:

Figure Out the Answer below anyway you can!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How would we simplify this expression? What does the fraction exponent do to the number?

Common Core #2 Rewrite expressions involving radicals and rational exponents using the properties of exponents.

Radical expression and Exponents So if you had to simplify 125⅓ What is your answer? The answer is 5.

Simplify the problem. Answer is 4 because the cube root of 64 is 4 x 4 x 4

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

PRACTICE PROBLEMS On Page 401, work problems 2-9. We will check shortly on the board. Now work problems 23-26 to really see if you know what you’re doing.