Section 5.1 Integer Exponents. Overview Recall that exponents are used to indicate repeated multiplication: In this section we explore properties of exponents.

Slides:

Advertisements

Similar presentations

Exponent Rules.

Advertisements

Definition of Let b represent any real number and n represent a positive integer. Then, n factors of b.

Exponents, Parentheses, and the Order of Operations.

Homework Read pages 304 – 309 Page 310: 1, 6, 8, 9, 15, 17, 23-26, 28-31, 44, 51, 52, 57, 58, 65, 66, 67, 69, 70, 71, 75, 77, 79, 81, 84, 86, 89, 90, 92,

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.

7/3/ :50 AMR.2 - Integer Exponents1 Exponents Section R.2.

Exponent Rules – Day 1 Zero and Negative Exponents.

Exponent Rules Repeated Multiplication Remember: so and.

© 2007 by S - Squared, Inc. All Rights Reserved.

The Laws of Exponents.

EXPONENTS ORDER OF OPERATIONS MULTIPLYING / DIVIDING POWER OF A POWER POWER OF A PRODUCT POWER OF A QUOTIENT NEGATIVE EXPONENTS.

Exponents and Scientific Notation

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE: NOW YOU TRY:

The Laws of Exponents.

1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

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

Integer Exponents Day 1. Definitions  Base: The term/variable of which is being raised upon  Exponent: The term/variable is raised by a term. AKA Power.

Dividing Monomials Honors Math – Grade 8. Quotient of Powers Look for a pattern in the exponents. 3 factors 5 factors KEY CONCEPT Quotient of Powers To.

Exponents and Their Properties Section 5.1. Overview Multiplying Powers with Like Bases Dividing Powers with Like Bases Zero as an Exponent Raising a.

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.

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

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

WELCOME BACK Y’ALL Chapter 6: Polynomials and Polynomial Functions.

Exponent Rules Essential Question: How can I simplify and evaluate algebraic equations involving integer exponents?

Properties Of Exponents Haley Dowdie, Ariana Langston, & Lynn Nguyen.

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.

Power of a Product and Power of a Quotient Let a and b represent real numbers and m represent a positive integer. Power of a Product Property Power of.

Do Now: Solve for x in the following equation: Hint: and.

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.

WHEN MULTIPLYING LIKE BASES, YOU ADD THE EXPONENTS FOR EXAMPLE:

Slide 1- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Section 1 Part 1 Chapter 5. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Integer Exponents – Part 1 Use the product rule.

Exponents base exponent means 3 factors of 5 or 5 x 5 x 5.

Thinking Mathematically Number Theory and the Real Number System 5.6 Exponents and Scientific Notation.

PROPERTIES OF EXPONENTS

Exponents base exponent. The Rules of Exponents: The exponent of a power indicates how many times the base multiplies itself.

Chapter 7: Exponential Functions

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

Bell Ringer Solve. 1. 7x – 1 = 2x + 19

1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 1-1 Basic Concepts Chapter 1.

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.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Quick Review Find each sum: (-3) + (-3) + (-3) Answers:

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?

Lesson 8.2 Notes Quotient of Powers- to divide two powers that have the same base, subtract the exponents – Ex: Power of a Quotient- to find the power.

Bellringer # Exponents Zero Exponent Property.

Exponent Properties Product of Powers: 23 ● 22 = 23+2 = 25

Properties of Exponents

Lesson 5-1 Properties of Exponents

Exponents 8/14/2017.

Dividing Monomials.

Exponential Functions

Warm Up multiplication exponents base multiply power power multiply

Exponents and Polynomials

Lesson 4.5 Rules of Exponents

Objective Use multiplication properties of exponents to evaluate and simplify expressions.

The Laws of Exponents.

Dividing Monomials.

The Laws of Exponents.

Section 6.1 Exponent Properties.

EXPONENT RULES.

Zero and negative exponents

Presentation transcript:

Section 5.1 Integer Exponents

Overview Recall that exponents are used to indicate repeated multiplication: In this section we explore properties of exponents that will be true for all real number bases and all integer exponents.

The Product Rule When you multiply with like bases, keep the bases and add the exponents.

The Zero Rule Anything to the zero power is 1.

The “Understood 1” Rule Anything to the first power is that thing.

Negative Exponents Any expression with a negative exponent can be re-written as an expression with a positive exponent.

Quotient Rule When you divide with like bases, keep the base and subtract the exponents.

Power Rules These rules apply to products, quotients, or powers being raised to powers. When you raise a power to a power, keep the base and multiply the exponents. These two properties are the “distributive” properties of exponents.

Examples