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.

Slides:



Advertisements
Similar presentations
Exponent Rules.
Advertisements

Exponent Rules – Day 1 Zero and Negative Exponents.
Laws of Exponents. Day 1: Product and Quotient Rules EXP 1.1 I can use the Product and Quotient Rules to simplify algebraic expressions.
Exponents and Scientific Notation
The Laws of Exponents.
RATIONAL EXPONENTS Assignments Assignments Basic terminology
EXAMPLE 2 Evaluate exponential expressions a. 6 – Product of a power property = 6 0 Add exponents. = 1 Definition of zero exponent = 6 –
Chapter 8 Review Laws of Exponents. LAW #1 Product law: add the exponents together when multiplying the powers with the same base. Ex: NOTE: This operation.
Review Laws of Exponents
MTH 091 Section 10.1 Exponents. Introduction In this section we introduce some of the rules for dealing with exponential expressions. Other rules will.
Exponents and Polynomials
+ Using Properties of Exponents EQ: How do we use properties of exponents? M2 Unit 5a: Day 1 Wednesday, October 07, 2015.
§ 1.6 Properties of Integral Exponents. Blitzer, Algebra for College Students, 6e – Slide #2 Section 1.6 Properties of Exponents Exponent Rules Product.
§ 1.6 Properties of Integral Exponents. Blitzer, Algebra for College Students, 6e – Slide #2 Section 1.6 Properties of Exponents Exponent Rules Product.
Copyright (c) 2010 Pearson Education, Inc. Laws of Exponents.
I can use the exponent rules to simplify exponential expressions.
PROPERTIES OF EXPONENTS. PRODUCT OF POWERS PROPERTY.
Basic Terminology BASE EXPONENT means. IMPORTANT EXAMPLES.
Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.
Exponents.
Exponent Rules Essential Question: How can I simplify and evaluate algebraic equations involving integer exponents?
WORDS ZERO PRODUCT PROPERTY: A base raised to the power of 0 is equal to 1 NEGATIVE EXPONENT PROPERTY: A negative exponent of a number is equal to the.
Monomials – Product and Quotient Remember your rules for multiplying and dividing variables…- When multiplying like variables, ADD your exponents When.
Section 6-1: properties of exponents
Essential Question: What is the first step for simplifying an exponential expression that contains negative exponents?
Section 5.1 Integer Exponents. Overview Recall that exponents are used to indicate repeated multiplication: In this section we explore properties of exponents.
Day Problems Simplify each expression – – (-8.4) 3. Evaluate each expression for a = -2, b = 3.5, and c = a – b + c5. |c + a + 5|
Exponent Rules Algebra 2/Trig. Parts When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base.
Thinking Mathematically Number Theory and the Real Number System 5.6 Exponents and Scientific Notation.
Exponents base exponent. The Rules of Exponents: The exponent of a power indicates how many times the base multiplies itself.

4.1 Properties of Exponents
Algebraic Fractions  Know your rules  Anything raised to the 0 power = 1  Negative exponents can be moved to the opposite and made positive (that is,
Chapter 7: Exponential Functions
Algebra I Concept Test # 1 – Integers Practice Test − 15 A positive times a negative is ? = Simplify: (− 27) − 42 = 2.(6)(− 7) Negative 9 = 3.−
Exponent Rules. Parts When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base and the power.
Algebra 7-1 and 7-2. Monomials DEFINITION: Monomial: a number, variable or the product of a number and 1 or more variables with nonnegative integer exponents.
 When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base and the power is called the exponent.
Properties of Exponents
LAWS OF EXPONENTS.
3.3 Day 1 Properties of logarithms –Use the product rule. –Use the quotient rule. –Use the power rule. –Expand logarithmic expressions. Pg. 407 # 2-36.
Opener Evaluate when x = 4.. Test Review Simplifying Exponent Rules.
Properties of Exponents. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. A number produced.
LESSON 4-7 EXPONENTS & MULTIPLYING. When we multiply terms with exponents  ADD exponents of like variables.
DIVISION PROPERTIES OF EXPONENTS DIVISION PROERTIES OF EXPONENTS.
Warm up! Simplify the following 1.Paraphrase the rules for multiplying exponents? 2.What order do the exponents have to be in? 3.x 3 x 7 x x 2 4.3x 3 4x.
Unit 4 Review!. 1. Write the expression Sum of 9 and z.
Bellringer # Exponents Zero Exponent Property.
EXPONENTS Basic terminology Substitution and evaluating Laws of Exponents Multiplication Properties Product of powers Power to a power Power of a product.
Basic Terminology BASE EXPONENT means Important Examples.
Exponent Properties Product of Powers: 23 ● 22 = 23+2 = 25
RATIONAL EXPONENTS Assignments Assignments Basic terminology
Apply Exponent Properties Involving Quotients
Lesson 5-1 Properties of Exponents
RATIONAL EXPONENTS Basic terminology Substitution and evaluating
Exponent Rules.
Multiplying and Dividing Powers
Chapter 5-1 Exponents.
Exponential Functions
Exponent Rules.
RATIONAL EXPONENTS Basic terminology Substitution and evaluating
Warm Up multiplication exponents base multiply power power multiply
Exponents and Polynomials
Lesson 4.5 Rules of Exponents
Exponent Rules.
PROPERTIES Of Exponents
Exponent Rules.
Exponent Rules.
Exponent Rules.
Zero and negative exponents
Presentation transcript:

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 to a power, multiply the exponents)

Properties of Exponents Power of a Product –(distribute) Negative Exponent –(flip to opposite side)

Properties of Exponents Zero Exponent –(anything taken to the zero power is 1) Quotient of Powers –(when dividing like bases, subtract exponents)

Properties of Exponents Power of a Quotient –(distribute)

Rules for Simplifying Exponential Expressions NO negative exponents Simplify all numbers taken to a power Variables go in alphabetic order Only one occurrence of each variable in a single term

Examples:

Examples:

Examples:

MORE Examples:

Homework p.326 #16-46 evens