1 2 5 3 2 x 2 4 3 2x 3 3 12 Quotient Power Rule for Exponents Examples Simplify

1 2 5 3 2 x 2 4 3 2x 3 3 12 quotient power rule for

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1. (2 5 ) 3 2. (x 2 ) 4 3. (2x 3 ) 3 12
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Quotient-Power Rule for Exponents Examples: Simplify each expression. 13
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Summary The following table summarizes the five properties of exponents 14
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4.2: Zero and Negative Exponents and Scientific Notation Objectives: 4.2.1: Define a zero exponent 4.2.2: Simplify expressions with negative exponents 4.2.3: Write a number in scientific notation 4.2.4: Solve an application involving scientific notation 15
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4.2.1: Define a Zero Exponent Examples: Simplify each expression. 1. 17 0 2. (a 3 b 2 ) 0 3. 6x 0 4. 3y 0 16
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4.2.2: Simplify Expressions with Negative Exponents Examples: Simplify each expression. 1. y -5 2. ( 3) -3 3. 4 -2 4. 2x -3 5. 4w -2 6. (4w) -2 To simplify means to write the expression with positive exponents only. 17
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4.2.2: Simplify Expressions with Negative Exponents Examples: Simplify each expression. 18
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4.2.2: Simplify Expressions with Negative Exponents Examples: Simplify each of the following expressions, and write the result, using positive exponents only. 1. x 3 . x -7 2. 3. 19
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4.2.2: Simplify Expressions with Negative Exponents Examples: Simplify each expression. 20
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4.2.2: Simplify Expressions with Negative Exponents Examples: Simplify each of the following expressions. 21
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4.2.3: Write a Number in Scientific Notation The Scientific Notation is an important use of exponents. Example on Identifying Solutions of One-Variable Equations: Examples: When a number is written in scientific notation, we look at the sign of the exponent to determine if the number is large or small . If the exponent is not negative , then the number is greater than or equal to one. If the exponent is negative , then the number is less than one. 22
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4.2.3: Write a Number in Scientific Notation Examples: Write each of the following numbers in scientific notation. 23
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4.2.4: Solve an Application Involving Scientific Notation Example: Light travels at an approximate speed of 3.05 Χ 10 8 meters per second (m/s). There are about 3.15 Χ 10 7 s in a year. How far does light travel in a year? 24
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4.3: Introduction to Polynomials Objectives: 4.3.1: Identify types of polynomials 4.3.2:Find the degree of a polynomial 4.3.3: Write polynomials in descending-exponent form 25
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4.3: Introduction to Polynomials A polynomial is one of the most common kind of algebraic expression. A term is a number or the product of a number and one or more variables and their exponents.
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