MTH 091 Section 10.1 Exponents. Introduction In this section we introduce some of the rules for dealing with exponential expressions. Other rules will.

Slides:

Advertisements

Similar presentations

Zero Exponent? Product or quotient of powers with the same base? Simplify Negative Exponents.

Advertisements

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.

Exponent Rules – Day 1 Zero and Negative Exponents.

Laws of Exponents. Exponential Notation Base Exponent Base raised to an exponent.

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 –

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.

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

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

Exponents and Polynomials

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

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?

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

Evaluating a Variable Expression To evaluate a variable expression:

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

4.1 Properties of Exponents

Chapter 7: Exponential Functions

Rules of Exponents. Introduction Product Rule—when multiplying with the same base, add exponents. Quotient Rule—when dividing with the same base, subtract.

Multiplication and Division of Exponents Notes

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.

 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.

Lesson 5.3 Products and Quotients of Powers. ( ) 3 b n = 1 · b · b · b · … · b n times Remember that the exponent n in the power b n counts the number.

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.

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

8 – Properties of Exponents No Calculator

Properties of Exponents

Warm-Up Evaluate when x = 4..

Multiplication and Division of Exponents Notes

Lesson 5-1 Properties of Exponents

Section 5.1 The Rules of Exponents.

Dividing Monomials: The Quotient Rule and Integer Exponents

Powers and Exponents.

RATIONAL EXPONENTS Basic terminology Substitution and evaluating

Domain and Range Domain: Domain: Range: Range:.

Exponent Rules.

Properties of Exponents

Exponential Functions

EXPONENTIAL EXPRESSIONS

Exponent Rules.

EXPONENTIAL EXPRESSIONS

RATIONAL EXPONENTS Basic terminology Substitution and evaluating

Warm Up multiplication exponents base multiply power power multiply

Exponents and Polynomials

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

You replace it with its simplest name

Exponent Rules.

The Laws of Exponents.

The Laws of Exponents.

WB pg WB pg. 176 WB pg. 176 WB pg. 176 Write in exponential form.

Objective Students will… Solve problems using the laws of exponents.

EXPONENTIAL EXPRESSIONS

L7-4 Obj: Students will simplify expressions with rational exponents

Zero and negative exponents

Presentation transcript:

MTH 091 Section 10.1 Exponents

Introduction In this section we introduce some of the rules for dealing with exponential expressions. Other rules will be introduced in later sections. Recall that, when we evaluate an expression, we substitute and simplify according to the order of operations.

Examples Evaluate each of the following for x = -2, y = 1, z = 3:

The Rules PRODUCT RULE: If you multiply with like bases, keep the base and add the exponents. POWER RULE: If you raise a power to a power, keep the base and multiply the exponents. POWER OF A PRODUCT AND QUOTIENT RULES: Exponents distribute over both products and quotients. QUOTIENT RULE: If you divide with like bases, keep the base and subtract the exponents. ZERO EXPONENT: Anything to the zero power is 1.

More Examples

Still More Examples

Just A Couple More…