www.powerpointmaths.comwww.powerpointmaths.com © Where quality comes first! PowerPointmaths.com © 2004 all rights reserved.

Slides:



Advertisements
Similar presentations
Indices Learning objective: To understand the basic rules of indices - all To investigate powers of 0 and 1 - most To investigate negative powers - some.
Advertisements

Section 1.4 Complex Numbers
How do we handle fractional exponents?
Click to start Higher Mathematics Indices Next.
Objective: Students will be able to write and solve two- step equations with one variable!
Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
1 How Do We Use Rational Exponents? Do Now: Perform the indicated operation and simplify 1. 2.
Topic 4: Indices and Logarithms
a m x a n = a m+n Consider the following: x = 3 x 3 x 3 x 3 x 3 = 3 5 (base 3) x = 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2 7 (base 2) 53.
2-2 Solving Two-Step Equations. Goal: To isolate the variable How do you do this : Use Inverse Operation (Opposite) 1. do all Addition or Subtraction.
© Where quality comes first! PowerPointmaths.com © 2004 all rights reserved.
Aim: Rational Exponents Course: Adv. Alg. & Trig. Aim: How do we handle fractional exponents? Do Now: 2 8 = 2 ? = 2 6 = 2 ? = 2 2 = 2 1 = 2 ? =
Fractions & Indices. a n x a m = a n + m a n  a m = a n - m a - m
THE LAWS OF LOGARITHMS Patterns & Relations #3. Prerequisites.
3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch.
Chapter 6 Polynomial Functions and Inequalities. 6.1 Properties of Exponents Negative Exponents a -n = –Move the base with the negative exponent to the.
       4 9 Write the following as a single exponent and.
Whiteboardmaths.com © 2004 All rights reserved
Solving Equations Using Multiplication and Division Algebra 1 Section 3.2a.
R Review of Basic Concepts © 2008 Pearson Addison-Wesley. All rights reserved Sections R.5–R.7.
Lesson 2.8 Dividing Real Numbers Mr. Beltz & Mr. Sparks.
Objective 3 Multiplying and Dividing Integers © 2000 by R. Villar All Rights Reserved.
Solving Linear Equations with a variable on only one side of the equation.
Algebraic Fractions Using 4 rules. In this Powerpoint, we will look at examples of simplifying Algebraic Fractions using the 4 rules of fractions. To.
Copyright © 2010 Study Island - All rights reserved. Name: _________________________________ Multiply Fractions Directions: Answer the following questions.
1.5 Solving Inequalities Equations can be represented with statements that contain = Inequalities can be represented with statements that contain ≤,, or.
5.2 – Solving Inequalities by Multiplication & Division.
Unit 5: Properties of Logarithms MEMORIZE THEM!!! Exponential Reasoning [1] [2] [3] [4] Cannot take logs of negative number [3b]
Evaluating Algebraic Expressions 2-7 One-Step Equations with Rational Numbers Additional Example 2A: Solving Equations with Fractions = – 3737 n
Indices and Exponential Graphs
Two-Step Equations Lesson 7-1. Steps to Solving Equations 1. “Balance Out” To shift terms of an equation around the “=“ by addition or subtraction Goal:
Addition Multiplication Subtraction Division. 1.If the signs are the same, add the numbers and keep the same sign = = If the.
Zero power - Any nonzero number raised to the zero power is always one (60 = 1) 4.6 Negative and Zero Exponents 24 = = 1 21 = 2 22 = 4 23 =
Solving One-Step Equations Unit 10. To Solve an Equation 1.Isolate the variable – get the letter by itself Inverse Operation 2.Use the Inverse Operation.
Solving 1-Step Equations 2 An Equation is Like a Balance.
What are Indices? Indices provide a way of writing numbers in a more convenient form Indices is the plural of Index An Index is often referred to as a.
CHAPTER 5 INDICES AND LOGARITHMS What is Indices?.
Solving Inequalities Using Multiplication and Division Chapter 4 Section 3.
Solving Quadratic Equations – Part 2 Quadratic Formula - another way to solve quadratic equations based on the standard form for a quadratic equation It.
White board practice problems By Ms. Taubman. Name all the sets of numbers that belongs to.
Section 7.1 Rational Exponents and Radicals.
Fractions & Indices. a n x a m = a n + m a n  a m = a n - m a - m
3-5 More on Solving Equations
Solving Equations involving Fractions
PowerPointmaths.com © 2004 all rights reserved
Order of Operation Must follow special set of rules to solve
Subtraction Addition Multiplication Fractions Division 1pt 1 pt 1 pt
Objective: To solve two-step variable equations
Algebraic Fractions Using 4 rules.
1 Step Equation Practice + - x ÷
In this tutorial you will be able to follow along step by step on how to solve basic operations involving fractions.
Evaluate Determinants & Apply Cramer’s Rule
2 Understanding Variables and Solving Equations.
Divisibility Rules.
Division of Fractions.
Divisibility Rules.
Бази от данни и СУБД Основни понятия инж. Ангел Ст. Ангелов.
Quality resources for the mathematics classroom
Equations and Inequalities
Algebraic Fractions Using 4 rules.
Number Lines.
Functions and Tables.
EXPONENTS… RULES?!?! X ? X 5 2 =.
Math-7 NOTES 1) 3x = 15 2) 4x = 16 Multiplication equations:
Indices Practice questions
Multiplication and Division of Integers
Presentation transcript:

© Where quality comes first! PowerPointmaths.com © 2004 all rights reserved

Consider the following: So in general: Evaluate the following: Write in index form: Fractional Indices a m x a n = a m+n Multiplication Rule a m  a n = a m-n Division Rule a 0 = 1 (a m ) n = a mn Power Rule Negative Index Rule

Consider the following: So in general: Evaluate the following: Write in index form: Fractional Indices a m x a n = a m+n Multiplication Rule a m  a n = a m-n Division Rule a 0 = 1 (a m ) n = a mn Power Rule Negative Index Rule Unit Fraction Rule

Fractional Indices a m x a n = a m+n Multiplication Rule a m  a n = a m-n Division Rule a 0 = 1 (a m ) n = a mn Power Rule Negative Index Rule Unit Fraction Rule General Fraction Rule Evaluate the following:

Equations Involving Indices a m x a n = a m+n Multiplication Rule a m  a n = a m-n Division Rule a 0 = 1 (a m ) n = a mn Power Rule Negative Index Rule Unit Fraction Rule General Fraction Rule  6 2x = 6262  2x = 2  x = 1  (3 -1 ) x = 27  3 -x = 3  -x = 3  x = -3  3 x-1 = 9  = 3232  x - 1 = 2  x = 3 Solve the following: 6 2x = 36  2 x-9 = 32  2 x-9 = 2525  x - 9 = 5  x = 14