Laws of Exponents: Multiplication.

Slides:

Advertisements

Similar presentations

Simplifying a Variable Expression

Advertisements

Laws of Exponents: Dividing Monomials Division Rules for Exponents.

Multiplication Rules for Exponents

Properties of Exponents

Lesson #3- Exponent Laws

WARM UP 3 SIMPLIFY THE EXPRESSION ● (2 3 ) 2.

Multiplying and Dividing Monomials 4.3 Monomial: An expression that is either a: (1) numeral or constant, ex : 5 (2)a v ariable, ex: x (3)or a product.

Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.

Section 8.1.  Exponents are a short hand way to write multiplication  Examples: 4 ·4 = 4 2 4·4·4 = 4 3 4·4·x·x·x= 4 2 x 3 = 16 x 3.

P ROPERTIES OF E XPONENTS. P RE -T EST Q UESTION 1 y 3 y 4 A.) y 12 B.) y 7 C.) y -1 D.) y.

Laws of Exponents. Review An exponent tells you how many times the base is multiplied by itself. h 5 means h∙ h∙ h∙ h∙ h Any number to the zero power.

Secret Signal … on your chest “1” if true “2” if false 2 3 = (2)(2)(2)

Review of Properties of Exponents. a 0 = 1, a  0 Properties of Exponents Assume throughout your work that no denominator is equal to zero and that m.

Ch 8: Exponents B) Zero & Negative Exponents

California Standards AF2.2 Multiply and divide monomials; extend the process of taking powers and extracting roots to monomials when the latter results.

Evaluating Algebraic Expressions 4-4 Multiplying and Dividing Monomials Math humor: Question: what has variables with whole-number exponents and a bunch.

Chapter 8.1.  Lesson Objective: NCSCOS 1.01 – Write the equivalent forms of algebraic expressions to solve problems  Students will know how to apply.

6.1 - Polynomials. Monomial Monomial – 1 term Monomial – 1 term; a variable.

Example Divide 2y 2 – 6y + 4g – 8 by 2. 2y 2 – 6y + 4g y 2 – 6y + 4g Simply divide each term by 2 y 2 – 3y + 2g - 4.

Aim: How do we work on the expression with negative or zero exponent?

Objectives Find the power of a power. Find the power of a product. Page 377 – Laws of Exponents: Powers and Products.

MULTIPYING POWERS LESSON BASE EXPONENT POWER.

Zero and negative exponents

Monomials Multiplying Monomials and Raising Monomials to Powers.

REVIEW MULTIPLYING MONOMIALS Mrs. Saucier

6.1 Properties of Exponents Use properties of exponents Use negative and zero as an exponent EQ: What are the general rules involving properties of exponents?

Law of Exponents for Multiplication Number Sense and Operations Grade 7.

3 ( x + 2 ) = 3 x ( 3 x - 5 ) = 6x - 10 x x x - 5 M May.

Properties of Exponents Examples and Practice. Product of Powers Property How many factors of x are in the product x 3 ∙x 2 ? Write the product as a single.

Combining Like Terms. Vocabulary A term is a number or the product of a number and a variable(s). ex. 5, -12p, 35m 3, x 2 y 5 z 13 A constant is a term.

(have students make a chart of 4 x 11

Laws of Exponents. Exponents The exponent of a number says how many times to use the number in a multiplication.

Multiplying with exponents

7-1 Multiplication Properties of Exponents

Exponent Rules: Continued

Tuesday June 17: Laws of Exponents

8.1 Multiplication Properties of Exponents

Laws of Exponents x2y4(xy3)2 X2 X3.

Section 5.1 The Rules of Exponents.

Multiplying Monomials

Aim: How do we work on the expression with negative or zero exponent?

Exponents, collecting terms and log rules

8-4 Properties of Logarithms

52 Exponent Base 52 · 53 = 55 If the numerical bases are the same, keep the base and add the exponents.

Rules of Multiplication

Factoring Polynomials

Working with Powers Integer Exponents Exponent Rules

Multiplication Properties of Exponents

Multiplying monomials with monomial

Algebra 2 Created by Educational Technology Network

Properties of Exponents

Multiplication Properties of Exponents

EXPONENT RULES Why are they important? Try some:.

B11 Exponents and Scientific Notation

Warm-Up Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Warm-Up 5 minutes Add or subtract. 1) (5x2 + 4x + 2) + (-2x + 7 – 3x2)

Бази от данни и СУБД Основни понятия инж. Ангел Ст. Ангелов.

Division Properties of Exponents

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

Section 4.7 Laws of Logarithms.

(2)(4) + (2)(5) + (3)(4) + (3)(5) =

EXPONENTS… RULES?!?! X ? X 5 2 =.

Laws of Exponents.

Exponent An exponent is a positive integer superscript written to the right of a number telling how many times that number is used as a factor.

Division Properties of Exponents

Algebra 1 Section 8.1.

Laws of Exponents.

Presentation transcript:

Laws of Exponents: Multiplication

72 Base Exponent x3

x x ² = • x x ³ x x x = • • ² ³ x x x x • x x • x • x = • • = xa xb Multiplication of Powers x x ² = • x x ³ x x x = • • ² ³ 5 x x x x • x x • x • x = • • = xa xb x(a+b) Rule: • =

x3•x4•x2 x3+4+2 x9

33•37 33+7 310

(-2)4•(-2)5 (-2)4+5 (-2)9

m4•m 1 m4+1 m5

m4•n2 mn6 ?? Must have same base!!!!!

2x4•5x2 2 5 x4 x2 2•5 x4+2 10x6

3x4y3•4x2y3 3 4 x4 y3 x2 y3 3•4 x4+2 y3+3 12x6y6

3x5•6x4 18x5+4 18x9

x4y3•x4y6 x4+4y3+6 x8y9

-4r2s2•3s4 -12r2s2+4 -12r2s6

-2a2b2c•3a4b3c4 -6a2+4b2+3c1+4 -6a6b5c5