Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6

Slides:

Advertisements

Similar presentations

Limits – Part 2 Use when a specific value “c” is given to evaluate… Use when no specific value “c” is given to evaluate…

Advertisements

EXAMPLE 3 Standardized Test Practice SOLUTION 8x 3 y 2x y 2 7x4y37x4y3 4y4y 56x 7 y 4 8xy 3 = Multiply numerators and denominators. 8 7 x x 6 y 3 y 8 x.

Warm Up Simplify each expression

Math 025 Section 10.1 Radicals. Perfect square Square root 1  1 = 1 4  4 = 2 9  9 = 3 16  16 = 4 25  25 = 5 36  36 = 6 49  49 = 7 64  64 = 8 81.

Algebra 2: Section 6.1 Properties of Exponents. Product of Powers –(when multiplying like bases, add exponents) Power of a Power –(when taking an exponent.

Objectives Multiply and divide radical expressions.

EXPONENTS. EXPONENTIAL NOTATION X IS THE BASE 2 IS THE EXPONENT OR POWER.

Starter Simplify the following: 2a + 3b – 7a + b 4c 2 – 3c + 6c 2 – 8c 5de + 6fd – 2ef – 6ed -5a + 4b 10c 2 – 11c -de + 6df – 2ef.

Copyright (c) 2010 Pearson Education, Inc. Laws of Exponents.

Rational Numbers Jeopardy

Algebraic Expressions - Rules for Radicals Let’s review some concepts from Algebra 1. If you have the same index, you can rewrite division of radical expressions.

Lesson 8.2 Apply Exponent Properties Involving Quotients After today’s lesson, you should be able to use properties of exponents involving quotients to.

Notes Over 7.2 Using Properties of Rational Exponents Use the properties of rational exponents to simplify the expression.

Exponents. Review: Evaluate each expression: 1.3 ³ 2.7¹ 3.-6² 4.(⅜)³ 5.(-6)² 6.3· 2³ Answers /

Honors Advanced Algebra Lesson 3-1. Warm-up Find the greatest common factor of the following. Factor it out of the expression x x x.

Multiplying and Dividing Radicals The product and quotient properties of square roots can be used to multiply and divide radicals, because: and. Example.

Rules of Exponents.

1.3 Algebraic Expressions Goals: ~Evaluate algebraic expressions ~Simplify algebraic expressions.

Day Problems Simplify each expression. 1. (c 5 ) 2 2. (t 2 ) -2 (t 2 ) (2xy) 3x 2 4. (2p 6 ) 0.

4 minutes Warm-Up Simplify 1) 2) 3) 4).

© 2010 Pearson Prentice Hall. All rights reserved Exponents and Polynomials Chapter 5.

12.01 Multiplying Monomials. A monomial is a number, a variable, or a product of both. Examples: 8, x, 5y, x 3, 4x 2, – 6xy 7 Exponential Notation amam.

Martin-Gay, Beginning Algebra, 5ed EXAMPLE Simplify the following radical expression.

 A radical expression is an expression with a square root  A radicand is the expression under the square root sign  We can NEVER have a radical in the.

Simplifying Radicals Algebra I Unit 1 D2. Perfect Squares

DIVISION PROPERTIES OF EXPONENTS DIVISION PROERTIES OF EXPONENTS.

Exponents. Review: Evaluate each expression: 1.3 ³ 2.7¹ 3.-6² 4.(⅜)³ 5.(-6)² 6.3· 2³ Answers /

Open your workbook to pg. 42 Rational Exponents Complete pg. 42 #1-6.

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.

Exponents and Monomials. Monomial is an expression that is a number, a variable, or a product of a number and variables. Constant is a monomial containing.

Unit 2: Properties of Exponents Jeopardy

RATIONAL EXPONENTS Assignments Assignments Basic terminology

Simplifying Variable Expressions

Simplifying Expressions with Rational Exponents and Radicals

6.2 Difference of 2 Squares Goal: To be able to recognize and completely factor the difference of two squares Remember to factor out a common factor before.

Lesson 88 Warm Up Pg. 576.

Exponents and Monomials

Section 5.1 The Rules of Exponents.

Rational Expressions – Simplifying

Dividing Monomials: The Quotient Rule and Integer Exponents

RATIONAL EXPONENTS Basic terminology Substitution and evaluating

Multiplying and Dividing Powers

Algebra 1 Section 8.2.

Simplifying Variable Expressions

Chapter 5-1 Exponents.

Section 8-2: Multiplying and Dividing Rational Expressions

Exponents & Scientific Notation Test Corrections

Simplifying Variable Expressions

Exponents and Monomials

RATIONAL EXPONENTS Basic terminology Substitution and evaluating

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.

Chapter 7 Section 3.

Chapter 7 Section 3.

PROPERTIES of EXPONENTS

Combining Like Terms and Distributive Property

The product of 3x5  2x4 is 6x20 6x9 5x20 5x9

Unit 2: Properties of Exponents Jeopardy

Simplifying and Rationalizing

Simplifying Variable Expressions

4 minutes Warm-Up Simplify 1) 2) 3) 4).

Which expression below is the expanded form of 54?

Exponents and Monomials

Simplifying Variable Expressions

7-4 Division Properties of Exponents

10-1 Simplifying Radicals

Simplifying Variable Expressions

Definitions Identifying Parts.

Write each expression by using rational exponents.

Exponents and Monomials

Zero and negative exponents

Presentation transcript:

Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) Simplify: (3xy4)(-2x2y2) (A) -6x2y8 x3y6 xy2 -6x3y6

Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) Simplify: (3xy4)(-2x2y2) (A) -6x2y8 x3y6 xy2 -6x3y6 We can multiply exponential expressions by adding the exponents of the like terms. (Remember: where no exponent is shown, the implied exponent is 1.)

-6 Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6 3 x -2 = -6 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) Simplify: (3xy4)(-2x2y2) (A) -6x2y8 x3y6 xy2 -6x3y6 3 x -2 = -6 -6

-6x3 Simplify: (3xy4)(-2x2y2) x3y6 xy2 -6x3y6 3 x -2 = -6 x1 x x2 = x3 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) Simplify: (3xy4)(-2x2y2) (A) -6x2y8 x3y6 xy2 -6x3y6 3 x -2 = -6 x1 x x2 = x3 -6x3

-6x3y6 Simplify: (3xy4)(-2x2y2) X3y6 Xy2 -6x3y6 3 x -2 = -6 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) Simplify: (3xy4)(-2x2y2) (A) -6x2y8 X3y6 Xy2 -6x3y6 3 x -2 = -6 x1 x x2 = x3 y4 x y2 = y6 The correct answer is (D). -6x3y6

When -9x5 is divided by -3x3, x  0, the quotient is UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2 -27x15 3x2

3 When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2 -27x15 3x2 Let’s do this in two steps. First, divide the coefficient -9 by the coefficient -3. This gives us a quotient of 3 (dividing a negative number by another negative number yields a positive number). 3

3x2 When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2 UNIT 1 – RATIONAL NUMBERS, EXPONENTS AND SQUARE ROOTS Exponents: Exponential Form (Algebra 1.1) When -9x5 is divided by -3x3, x  0, the quotient is 27x8 -3x2 -27x15 3x2 Next, divide the exponential variable x5 by x3. Remember, to divide exponential terms with the same base, find the difference between the exponents. This gives us x2. 3x2