Example 4: Divide Powers

Slides:

Advertisements

Similar presentations

Lesson 6 Contents Example 1Multiply Powers Example 2Multiply Monomials Example 3Divide Powers Example 4Divide Powers Example 5Divide Powers to Solve a.

Advertisements

Lesson Menu Main Idea NGSSS Example 1:Multiplication and Division with Scientific Notation Example 2:Multiplication and Division with Scientific Notation.

EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –

Splash Screen. Lesson 1 Menu Five-Minute Check (over Chapter 6) Main Ideas and Vocabulary California Standards Example 1: Identify Monomials Key Concept:

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 9–2) Then/Now Key Concept: Product Powers of Property Example 1:Multiply Powers Example 2:Multiply.

Lesson 8-1 Multiplying Monomials. Transparency 1 Click the mouse button or press the Space Bar to display the answers.

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

Lesson 2 Menu Five-Minute Check (over Lesson 7-1) Main Ideas and Vocabulary Targeted TEKS Key Concept: Quotient of Powers Example 1: Quotient of Powers.

Monomials – Product and Quotient Remember your rules for multiplying and dividing variables…- When multiplying like variables, ADD your exponents When.

Key Concept: Zero and Negative Exponents

PROPERTIES OF EXPONENTS

Lesson Menu Main Idea and New Vocabulary Example 1:Write Powers as Products Example 2:Write Powers as Products Example 3:Write Powers in Standard Form.

Lesson Menu Main Idea and New Vocabulary NGSSS Key Concept:Product of Powers Example 1:Multiply Powers Example 2:Multiply Powers Example 3:Multiply Powers.

Lesson Menu Main Idea and New Vocabulary Key Concept:Product of Powers Example 1:Multiply Powers Example 2:Multiply Monomials Example 3:Multiply Monomials.

Get out Page 212 Add this problem to Page 212. a.)

Copy down the following expressions and circle the like terms. 1. 7x 2 + 8x -2y + 8 – 6x 2. 3x – 2y + 4x 2 – y 3. 6y + y 2 – 3 + 2y 2 – 4y 3 What are like.

Lesson Menu Main Idea Key Concept:Zero and Negative Exponents Example 1:Write Expressions using Positive Exponents Example 2:Write Expressions using Positive.

Multiplying Monomials. Monomials A monomial is a number, a variable, or a product of a number and one or more variables. An expression involving the division.

Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you evaluate expressions involving rational exponents?

Monomials Chapter 5.1. Vocabulary Monomial: an expression that is a number, a variable, or the product of a number and one or more variables. – Can not.

Splash Screen. Then/Now You multiplied monomials. Find the quotient of two monomials. Simplify expressions containing negative and zero exponents.

Dividing Monomials.

Adding and Subtracting Rational Expressions

Module 1 Day 3 Power Properties.

Distributive Property Multiply and Divide polynomials by a constant worksheet.

Main Idea and New Vocabulary Key Concept: Distributive Property

Apply Exponent Properties Involving Quotients

Key Concept: Power of a Power Example 1: Find the Power of a Power

Main Idea and New Vocabulary Key Concept: Product of Powers

Main Idea and New Vocabulary Example 1: Write Powers as Products

Dividing Monomials.

Main Idea and New Vocabulary Key Concept: Rational Numbers

Multiplying and Dividing Monomials

Example 1: Solve a Multiplication Equation

Main Idea and New Vocabulary

Main Idea and New Vocabulary Key Concept: Area of a Circle

Compute with numbers written in scientific notation.

Main Idea and New Vocabulary Example 1: Find the Part

Main Idea and New Vocabulary Example 1: Write Expressions Using Powers

Key Concept: Power of a Power Example 1: Find the Power of a Power

Key Concept: Subtract Integers Example 1: Subtract Positive Integers

Main Idea and New Vocabulary Example 1: Find the Part

Key Concept: Zero and Negative Exponents

Divide the number in C by 10.

Lesson 4.5 Rules of Exponents

Main Idea and New Vocabulary Key Concept: Pairs of Angles

Main Idea and New Vocabulary Example 1: Write Powers as Products

Main Idea and New Vocabulary Example 1: Solve Two-Step Equations

Key Concept: Negative Exponents Example 1: Use Positive Exponents

Key Concept: Multiply Integers with Different Signs

Key Concept: Negative Exponents Example 1: Use Positive Exponents

Dividing Monomials.

Example 4: Divide Powers

Main Idea and New Vocabulary

Main Idea and New Vocabulary Key Concept: Rational Numbers

Key Concept: Negative Exponents Example 1: Use Positive Exponents

Main Idea and New Vocabulary Example 1: Write Powers as Products

Review of basic operations and vocabulary

Main Idea and New Vocabulary Example 1: Write Expressions Using Powers

Example 1: Multiplication and Division with Scientific Notation

Presentation transcript:

Example 4: Divide Powers Main Idea and New Vocabulary Key Concept: Product of Powers Example 1: Multiply Powers Example 2: Multiply Monomials Example 3: Multiply Monomials Key Concept: Quotient of Powers Example 4: Divide Powers Example 5: Divide Powers Example 6: Real-World Example Lesson Menu

Multiply and divide monomials. Main Idea/Vocabulary

Key Concept

Find 85 • 8. Express using exponents. Multiply Powers Find 85 • 8. Express using exponents. 85 • 8 = 85  81 8 = 81 = 85 + 1 The common base is 8. = 86 Add the exponents. Answer: 86 Check 85 • 8 = (8 • 8 • 8 • 8 • 8) • 8 = 8 • 8 • 8 • 8 • 8 • 8 or 86  Example 1

Find 44 • 42. Express using exponents. A. 42 B. 44 C. 46 D. 48 Example 1 CYP

f 6 • f 3 = f 6 + 3 The common base is f. = f 9 Add the exponents. Multiply Monomials Find f 6 • f 3. f 6 • f 3 = f 6 + 3 The common base is f. = f 9 Add the exponents. Answer: f 9 Example 2

Find g2 • g9. A. g7 B. g11 C. g18 D. g29 Example 2 CYP

= (–6)(x 6 + 4) (y 2 + 3) The common bases are x and y. Multiply Monomials Find –3x 6y 2 • 2x 4y 3. (–3x 6y 2)(2x 4y 3) = (–3  2)(x 6  x 4) (y 2  y 3) Use the Commutative and Associative Properties. = (–6)(x 6 + 4) (y 2 + 3) The common bases are x and y. = –6x10y 5 Add the exponents. Answer: –6x 10y 5 Example 3

Find –1x 3 • –4x 4y. A. 4x 7y B. –4x 7y C. 4xy D. –4xy Example 3 CYP

Key Concept 4

= 47 Subtract the exponents. Divide Powers Find The common base is 4. = 47 Subtract the exponents. Answer: 47 Example 4

Find A. 315 B. 38 C. 32 D. 3 Example 4 CYP

= x 2 Subtract the exponents. Divide Powers Find . The common base is x. = x 2 Subtract the exponents. Answer: x 2 Example 5

Find A. y B. y 8 C. y 15 D. y 56 Example 5 CYP

= 9 3 Subtract the exponents. BACTERIA A scientist determines that Bacteria A multiply at a rate of 98 per second. Bacteria B were determined to multiply at a rate of 95 per second. Find how many times faster Bacteria A multiply than Bacteria B. The common base is 9. = 9 3 Subtract the exponents. Answer: So, Bacteria A multiply 93 or 729 times faster than Bacteria B. Example 6

PICTURES Alexi took 25 pictures on the class trip PICTURES Alexi took 25 pictures on the class trip. Brittany took 24 pictures. Find how many more pictures Alexi took than Brittany. A. 2 times more B. 3 times more C. 22 times more D. 24 times more Example 6 CYP