-Laws of Indices. Hence inverse ratio of 11:15 is 15 : 11. 92 x 22/ 55⁄2 x 33 in the form A/B where A and B are integers. 6. Get solutions and their explanations for each and every Surds and Indices question answer listed in this selection of Surds and Indices Indices and Logarithms II. The document provides information on indices, logarithms, and surds as required by a syllabus. It defines indices and the laws of indices, including the power law, addition law, subtraction law, negative law, and fraction law. Size: 107. logb. This document provides a 3-sentence summary of a chapter on indices and logarithms: Indices represent the power to which a base number is raised, such as 24 where 2 is the base and 4 is the index. Jul 9, 2024 · Surds and Indices often show themselves up in the competitive exams syllabus therefore it’s important to prepare them effectively. 2 Exponents with the Same Base We will begin with a very simple definition. Logarithms, surds and indices formulas PDF will help you a lot in CAT exam as these are very straight forward and every year many number of questions are asked from this (logarithms, surds and indices) topic. 1000 = 103 then 3 = log10 1000 0. Solution: . 3m 11s. Solution: Change all the logarithms on L. Use the first law to simplify the following. Self Assessment Questions. com/watch?v=nvw7eEOaWI4👉Next Video: https://www. Click on the below link to download the CAT Logarithms, Surds and Indices Formulas PDF. Solutions. logb n. 3) Power Rule: log a x n = nlog a x Quizizz is an innovative platform that offers a variety of educational resources, including logarithms worksheets for Grade 10, to help teachers create engaging and interactive learning experiences for their students. The above logarithm form can also be written as: 3x3x3 = 27. Lesson Plan Summary. Date: December 2019. Indices and Logarithms - Free download as Word Doc (. Loading ad Madam_Maisarah Member for 2 years 5 months Download PDF Loading ad LIVEWORKSHEETS. Logarithm tables are introduced as a Document Description: MCQ - Indices for CA Foundation 2024 is part of Quantitative Aptitude for CA Foundation preparation. Scribd is the world's largest social reading and publishing site. For example, a0 = 1 and a-n = 1/an. This document provides information on indices, logarithms, and their applications. Teacher: New General Mathematics 1, 2 and 3. April 16, 2022 CA Student Friend. Apr 26, 2020 · Logarithm Theory. Indices and Logarithm_MCQ - Free download as PDF File (. Information about MCQ - Indices covers topics like and MCQ - Indices Example, for CA Foundation 2024 Exam. com/watch?v=cBCUO5UifQk ️📚👉 Watch the Full Free Course: http CBSE Class 11 Applied Mathematics | ML Aggarwal | Exercise 2. Since all the terms involving logarithms are to the same base, that is base 3, they can be combined as a single term using the laws of logarithms. Indices_and_logarithms. Rules of logarithms 1) Product Rule: The logarithm of a product is the sum of the logarithms of the factors. Ratios, Proportions, Indices and Logarithms Summary for CA Foundation November 2020 Exams RATIOS A ratio is a comparison of the sizes of two or more quantities of the same kind by division If a and b are two quantities of the same kind (in same units), then the fraction a/b is called the ratio of. log2 11 = 121 log 2 11 = 121. Find the logarithms and antilogarithms of numbers greater than 1. 2 Exercise 2. of numbers between 0 and 1. log11 121 = 2 log 11 121 = 2. Download Form 2 Mathematics Term 1 Lesson Plan in both Word and PDF formats. It is essential, however, that a firm grasp of these topics is obtained, since the understanding of everything that follows, whether in this book or any other mathematical text, rests heavily on their full Oct 30, 2018 · Indices and logarithms. Problem 2. Therefore the logarithm of 379 is 2 + 0. Among the alternatives are bacteriophages; an interest that stems from their special characteristics, including widespread distribution, self-replication, and a lack of effects on the host. Jul 13, 2021 · Download Grade 11 Maths textbook answers for INDICES AND LOGARITHMS – II (Darshaka ha Laguganaka – II), Lesson 03 in Sinhala Medium. _____ 2. This document contains an MCQ past paper on indices and logarithms from 2015. Below are the Sub-Topics covered in the lesson planSUB-TOPICS-Indices (powers) and base. i. 81 (x+1) + 3 4x = 246. e. you can get year-wise, topic-wise Questions and Solution with PDF. Below are some of the examples of conversion from exponential forms to logarithms. Group Classes. Logs have some very useful properties which follow from their de nition and the equivalence of the logarithmic form and exponential form. a) log 10 6+log 10 3, b) logx+logy, c) log4x+logx, d) loga+logb2 +logc3. Download Indices, Surds And Logarithm. 79 = 0. This course will teach you all you need to know about indices and surds to master the hardest parts of GCSE and IGCSE maths, and then moves on to harder A-level examples as well logarithms and the rules to manipulate them. 1. This rise in resistance and the associated challenges in finding alternative compounds has led to a growth in interest in alternatives. Formula: Properties of logarithm Jul 18, 2021 · 5. The notes and questions for ICAI Notes- Ratio and Proportion, Indices, Logarithms- 2 have been prepared according to the CA Foundation exam syllabus. 1 4log5 x 1 4 log 5 x. Exercise 1(A) Problem 1. Glossary of terms Logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that Indices and Logarithms - Free download as PDF File (. Answer: 2. Compound ratio of 2 : 3, 5 : 7 and 4 : 9 is 40 : 189. Mastering the laws, formulas, and problem-solving process is essential for working with logarithms and indices. log a xy = log a x + log a y. 79 x 102 . In particular, log 10 10 = 1, and log e e = 1 Exercises 1. Exercise 2. 5 (2y+1) = 4 (5) y+1 − 15. It discusses: - Exponential functions of the form y = 2x where the base is fixed and the index varies. 14 ÷ 0. ffffff Form 2 Mathematics Indices and Logarithms Online Lessons. 23= 8 … called index form. We can see from the Examples above that indices and logarithms are very closely related. We begin this chapter with a discussion of indices and logarithms, two topics that often cause a great deal of difficulty. Report DMCA. Indices are used to represent repeated multiplication, such as in exponential expressions like x^n. txt) or view presentation slides online. The ratio of two quantities is 3:4, if the antecedent is 15, the consequent is. Previous year Questions NIMCET Logarithms and Indices Uploaded by Aspire Study MCA Entrance Coaching Classes. 6KB. pptx - Free download as Powerpoint Presentation (. To perform a division such as 23. docx), PDF File (. = logb m. xy = a a5 ÷ a = a5 By studying this lesson, you will be able to• simplify expressions involving powers and roots and• solve equations using the laws of indices and logarithms. LOGARITHMS A Logarithm is a mirror image of an index If m = b n then logbm = n The log of m to base b is n If y = xn then n = logx y The log of y to the base x is n e. It defines ratios as a comparison of quantities of the same kind, and proportions as an equality of two ratios. The logarithm of a number to given base is the index or the power to which the base must be raised to produce the number, i. a) log 10 6− Read the logarithm of A from the tables, which gives the decimal part of the logarithm. Exercises 1. May 5, 2024 · Ratio and proportion, Indices, logarithms. xy Another name for an INDEX is an EXPONENT. INDICES AND LOGARITHMS. Find the logarithm of: 379 . - Definitions of zero and negative indices to extend index laws. = 3 log 10 2 = R. to make it equal to the given number. The logarithm of 16 with a base of 2 is 4, because 2 4 = 16. Enter the base x first, press then enter the index y. The document concludes Standard Form, Indices and Logarithm - Free download as Word Doc (. 3 3 = 27 …. Every formula in this PDF is very important. Now, lets revise what it means. This formula sheet pdf contains various formulas, shortcuts, concepts related to Logarithms, surds and Indices topic of IBPS PO. May 12, 2020 · May 12, 2020 by. The parent function f(x)=log 10x is vertically stretched by a factor of 3, reflected in the y-axis, horizontally transformed 4 units to the left and vertically transformed 2. 5 units up. Can be expressed as . Grade 11 Logarithms. The Mar 20, 2014 · PDF | Worked Examples on Indices and Logarithms | Questions and Answers on Indices and Logarithms | Find, read and cite all the research you need on ResearchGate. 2) Quotient Rule: The logarithm of a quotient is the logarithm of the numerator minus the logarithm of the denominator. Log 3. lesson you will be able to2 use the table of logarithms to simplify expressions involving products and quotients of powers and roots. Aug 1, 2018 · Logarithm Laws The logarithm of a number to a given base is the power to which the base must be raised in order to produce the number. Indices & Logarithms Explained with Worked Examples Shefiu S. 01 = 10-2 then –2 = log10 0. edu. Use logarithms correct to 4 decimal places to evaluate; This method exploited the index law, log 10 xy = log 10 x + log 10 y. Logarithms are the inverse of exponents, and are used to represent repeated division. Solution: Dec 14, 2017 · 8. 5 = 2. Logarithms answer the question ‘what power do I need to raise to in order to get ?’ If The base of a logarithm must be a real positive number greater than 1 Example 1 4 days ago · If the index is anything other than 1, we require to write it down as the power of the base number. 99 Video Lessons. 👉Previous Video: https://www. What is a logarithm? The logarithm of a number is the power that the base must be raised to, to give that number. Then make. the subject of the equation. ppt / . Answers are in video format. Topics covered in Class 11th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming. 2 identify the two keys and √ on a scientific calculater, and simplify expressions involving decimal numbers, powers and roots us. The logarithm of a number is the power to which the base must be raised to give the number. In this course, we are going to learn through worked out examples. They may show you a nice shortcut. Nursery 246 2. It provides examples of applying each law. doc. Index laws are assumed to hold for rational indices. 10 −5). Use the second law to simplify the following. 1. Dr Kevin Olding. The logarithm form is written as follows: Log 3 (27) = 3 …. 1, on the way to Euler’s Theorem 3. In fact, it is a system of evaluating multiplication, division, powers and roots by appropriately converting them to addition and subtraction. 2. 52 = 25 log 525 = 2. Without logarithm tables or calculators, evaluate: (25) ¾ x 0. Notice that the graph grows taller, but very slowly, as it moves to the right. Form 2 English Course on Compositions. and b 1. Supp ose b 0. Form 2 English Course on Compositions: Course Content: 1. evaluate: 2 6. It defines indices and logarithms, outlines their basic properties and laws, and provides examples of using logarithms to perform calculations like multiplication, division, evaluating powers and roots. 2 suggests that we take a negative index for b to mean the inverse or reciprocal of b to that index -n 1 b =-bn (1. 6. Other 59 7. Arithmetic sequence or series where: a is the first term d is the common difference Geometric sequence or series where: a is the first term r is the common ratio given Irl<l Graphing logarithms Recall that if you know the graph of a function, you can find the graph of its inverse function by flipping the graph over the line x = y. Jul 20, 2020 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright Mar 8, 2021 · Indices, surds & logarithms Indices, surds & logarithms. Microsoft Word - logsindsols. Then add it to n which is the power of 10 to form the positive part of the logarithm. Download these Free Logarithmic Functions MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. 5. 1 Logarithms. ii. Q:2 Anand earns Rs 80 in 7 hours and Promode Rs 90 in 12 hours. Indices and Logarithms zefry@sas. Freedom Institute. Simplify expressions that contain products of indices and fractional indices. log a (x/y) = log a x – log a y. The equation is then changed into index form. Tertiary 167 6. Apply this concepts in SBI Prelims mock series and score more in it. ILS2. 3 = 5. S. Logarithm Tables: Indices and Logarithms - Free download as PDF File (. (1) Therefore, the base 3 logarithm of 27 is 3. 9. Lessons ( 99 ) SHARE. A ratio a : b is said to be of greater inequality if a>b and of less inequality if a<b. pptx), PDF File (. The expression b2 is usually spoken as ‘b squared’, and the expression b3 as ‘b cubed’. Worked examples of solving equations using Indices and Logarithms - Free download as PDF File (. Solve for x in: 9x + 32x - 1 = 53. 4526, the logarithms were subtracted. The rules of indices for multiplying, dividing, raising to a power, and fractional indices. EVALUATE THE FOLLOWING: 1) x = log39 the log of m to base b = n then m = bn the log of 9 to base 3 = x To help the aspirants, we have made a PDF which consists of all the formulas, tips and tricks to solve these questions. This used the result, the difference of original indices m and n. Solve for y in the equation:-. Ratios. These are developed in the following sections. doc / . - Rational indices like a1/2, where a1/2 is the positive square root of a. 4 = 2. 499. May 23, 2024 · 82058. Below is the graph of a logarithm of base a>1. 1-1 Tuition. log2 121 = 11 log 2 121 = 11. Solve Surds and Indices MCQs Quiz so that you never will have to depend on fluke chances for your answer to be correct. Download Logarithms, surds and indices formulas PDF. Solution . 1 Express equation in index form to logarithm form and vice versa Definition of logarithm If a is a positive number and a z 1 , then a ` (INDEX FORM) (LOGARITHM FORM) N = Number a = base x = index a The logarithm of 1 to any base is always 0, and the logarithm of a number to the same base is always 1. Class 11 CBSE Applied Maths Indices ML AGGARWAL Exercise 2. g. Take Unlimited Topic Wise Tests - just Rs. Logarithms answer the question ‘what power do I need to raise to in order to get ?’ If The base of a logarithm must be a real positive number greater than 1 Example 1 Feb 10, 2021 · Indices Questions and Answers - Form 2 Topical Mathematics. Worked examples of solving equations using indices. 4 = 10. Cloned SPM Question (2006, Paper 1) Solve the equation 3 + log (. Kenya 114 Baby Class 150 Middle Class 157 P1 Primary One 378 P2 Primary Two 365 P3 Primary Three 324 P4 Primary Four 384 P5 Primary Five 468 P6 Primary Six 519 P7 Primary Seven 1725 S1 Senior One 639 S2 Senior Two 842 S3 Senior Three 967 S4 Senior Four Created Date: 7/14/2011 11:06:04 AM 1. 6 = 3. 01. 3. Q1. Mission + Values. Topics covered in Class 11th Applied Maths includes : Numbers, Quantification Section 2 Properties of Logs. a) log 10 6− Form 2 Questions and Answers on Indices and Logarithms. Alevel 2628 5. The index represents the number of times a number has to be multiplied by itself. Properties and types of ratios and proportions are provided. Write the following using logarithms instead of powers a) 82 = 64 b) 35 = 243 c) 210 = 1024 d) 53 = 125 Enhance your skills with practice papers tailored for Chapter 1: Ratio and Proportion, Indices, Logarithms, question paper analysis, and language proficiency. Solve simple equations containing indices. Standard form is a way of writing numbers with an exponent, where the coefficient is between 1 and 10 and the exponent is a whole number. Thus, logarithm is a technique of expressing numbers. Definitions and rules of logarithms, natural logarithms, and exponential functions. Thus ‘two cubed’ means 23 =2×2×2=8. - Examples of Indices_and_logarithms - Free download as PDF File (. This document was uploaded by user and they confirmed that they have the permission to share it. Example 1: Change the base of log531 into the common logarithmic base. Special names are used when the exponent is 2 or 3. Read this section to see what this means, and how the laws of indices apply to fractional indices. Change of base: Example: , √ √ etc This shows that when the base of a logarithm is changed, the initial base is used as a separate logarithm to divide the initial logarithm to the new base. The inverse ratio of 11:15 is. Express and interpret numbers in standard form. Theory of Production & Cost Book PDF. Formula: Properties of logarithm exponential form, and we call b the base and n the exponent, power or index. Finally, we want to take a look at the Property of Equality for Logarithmic Functions. AI NOTES 2 Hand Written PDF. txt) or read online for free. A logarithm is an index or power. Recall and use the laws of indices (multiplication, division, zero, reciprocal). Similar results were shown in questions that combine both indices and logarithm properties, where the students’ performance increases from 29% to 50%. Recall it consisted of all powers of a (well, of [a]_n ) in (Z/nZ)*. (2) Thus, the equations (1) and (2) both represent the same meaning. Use the rules of indices to simplify each of the following and where possible. Although the number of formulae is high, the basic concepts are very simple to understand and apply. Logarithms are another way of expressing powers. . m. To help the aspirants, we have made a PDF which consists of all the formulas, tips and tricks to solve these questions. 3 Exercise 2. Download using the Link Below. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Equation 1. Grade – Grade 11. Dec 1, 2008 · We would like to show you a description here but the site won’t allow us. Please note that the full lesson plan is only available after purchase. House Property Chart Book pdf. The parts of an exponential term are labelled below . 4. Example; 8. Below is the graph of a logarithm when the base is between Sample Multiple Choice Questions (MCQ's) for CA Foundation - Paper 3 - Business Mathematics and Logical Reasoning & Statistics - Chapter 1 RATIO & PROPORTION, INDICES, LOGARITHMS - For Practice relevant for Dec 22 and May/June 23 Examinations. Get access to thousands of educational resources. Example . 1 extends to the case of Jun 7, 2017 · This formulas are very basic and easy to learn. Jun 20, 2023 · CA Foundation Paper 3: Business Mathematics, LR and Statistics : Chapter 1: Ratio and Proportion, Indices, Logarithms Notes, Charts & Lectures All Compilation AT One Place in PDF. The ratio compound of the two ratios a : b and c : d is ac : bd. Note – Base (2), index (3) and number (8) are the same but in different positions. 2 was divided by 5 and then the table of anti-logarithms was applied to find the answer. Solution: We know that the inverse of a : b is b : a. Zakariyah, PhD, CEng, SMIEEE, MIET, AMIMA, AInstCT Worked Examples on Indices and Logarithms | Questions and Answers on Indices and Logarithms What are the laws of logarithms? There are many laws or rules of indices, for example a m x a n = a m+n (a m) n = a mn; There are equivalent laws of logarithms (for a > 0) There are also some particular results these lead to This chapter introduces indices and logarithms. 0: Prelude to Indices and Discrete Logarithms We talked about the cyclic subgroup a of (Z/nZ)* generated by an element a in the proof of our version of Lagrange’s Theorem 3. Some useful properties are as follows: logb mn = logb m + logb n. Find the value of the expression (27 - 2)^3 × (9/64)^2 ÷ (1/8)^-1. Now take it out of the exponential form and write it in logarithmic form. to the base 10 by using the formula. Write 112 = 121 11 2 = 121 in logarithmic form. log28 = 3 … called log form. Hello Dear CA Foundation Students, We are Sharing With You Notes and Lectures of CA Foundation Paper 3: Business Mathematics Short Answer. Form 2 Questions and Answers on Indices and logarithms. Subject – Mathematics. It’s free to download. EVALUATING INDICES AND LOGARITHMS. Type: PDF. The logarithm of a number consists of two parts, the whole part or the integral part is called the 38 Chapter 14: Revision of indices, logarithms and surds Teaching and learning materials Students: Textbook, an exercise book, writing materials and a calculator if possible. 4 = In algebra, with pronumerals (also called letters or variables) it works the same way so that the algebraic expression can be written in a We would like to show you a description here but the site won’t allow us. To find, for example, the logarithm to the base 10 of 463. 3 | Indices and Logarithms @vaagaiacademyofmathematics3009 Solution for the problems of Exercise Sep 6, 2015 · 2 Using index law 1: a 52 × 5 4 = 3 2 + 4 25 = 5 6 b a2 × a4 = x2 + 4 32 = a6 c 3x4y × 5 x2y2 = 3 × 5 × x4 + 2 × y1 + 2 24 = 15 x6y3 3 Using index law 2: 4 Using index law 3: 5 Using index law 4: Remember the xy button. The index of a number can also be zero or negative. This document discusses indices and logarithms. 2. Indices represent the number of times a factor is multiplied, and logarithms define the power to which a base must Logarithm is a derived term from two Greek words, namely: logos (expression) and arithmos (number) (Singh, 2011). 21. log11 2 = 121 log 11 2 = 121. We use ratio in many ways in practical fields. Document Description: ICAI Notes- Ratio and Proportion, Indices, Logarithms- 2 for CA Foundation 2024 is part of CA Foundation preparation. The document discusses various mathematical concepts including ratios, proportions, indices, and logarithms. For example, it is given that a certain sum of money is divided into three parts in the given ratio. Hence equation 1. Reviews. Expand log5 x√4 log 5 x 4 using the Laws of Logarithms. Spotify - Logical and Mathematical Challenges. Revision exercise on indices and logarithms: 1. 1: More Properties of Multiplicative Order INDICES AND LOGARITHMS. When the bases are the same in index form, it can be easy to evaluate an May 31, 2013 · Practice questions cover a range of skills like evaluating logarithmic expressions without a calculator, expressing logarithmic values in terms of given variables, and solving equations involving logarithms and indices. In standard form = 3. Primary 2206 3. 5786 = 2. Index /power/exponent Number . The logarithm of 1 to any base is always 0, and the logarithm of a number to the same base is always 1. (b) Shows that 5n + 5n + 1 + 5n + 2 can be divided by 31 for all the values of n which are positive integer. my 6 2. This means that a logarithm is an index. H. It allows very large and small numbers to be easily written and Jul 10, 2024 · Get Logarithmic Functions Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. 9 x + 3 2 x − 1 = 53. It includes 88 questions from past Hong Kong Certificate of Education Mathematics exams from 1980 to 2015, focusing on topics related to indices, logarithms, and Indices and Logarithms I . pdf), Text File (. Base 23= 8. It includes: 1. Olevel 3987 4. pdf) or read online for free. The notes and questions for MCQ - Indices have been prepared according to the CA Foundation exam syllabus. Ask your teacher about the last two examples. n. Solve for x; 9x + 32x − 1 = 53 9 x + 3 2 x - 1 = 53. Find . Informal Letters. 2 log2 12 + 3 log25 – log2 15 – log2 150. log832. On this page there is a carefully designed set of IB Math AA SL exam style questions, progressing in order of difficulty from When the reciprocal of a logarithm is required, the base and the number interchange their positions. For example compound ratio of 3 : 4 and 5 : 7 is 15 : 28. Indices and logarithms ax = y y = x loga ax — loga x logb x = loga b Sequences and series In the following, Tn is the nth term, and Sn is the sum of the first n terms. just means 2 × 2 × 2 = 8. General examples 1. LOGARITHMS AND THE LAW OF LOGARITHMS. Evaluate the value of x in. -Powers of 10 and common logarithms -Logarithms of positive numbers Abstract. Putting m = a, we have log a a = log b a x log a b ⇒ log b a x log a b = 1, since logaa = 1. y 16. State the domain and range of the transformed function f(x)=6log −2(x. INDICES AND LOGARITHMS – II (Darshaka ha Laguganaka – II) Answers are available in PDF format. 5. 3. Find the value of x given that : 1. In the same way that we have rules or laws of indices, we have laws of logarithms. 22. In logarithms, the results are better compare to indices where the excellent score 80-100 increased from 17% to 75%. Find the value of x in the following equation: 49x+1 + 72x = 350 49 x + 1 + 7 2 x = 350. 4log5 x 4 log 5 x. Just like 23 8 converts to log 8 3. pdf - Free download as PDF File (. Access the best books, sample papers, and study material specifically designed for Chapter 1: Ratio and Proportion, Indices, Logarithms to ensure effective preparation. 5786 Sep 21, 2022 · 1. In addition to worksheets, Quizizz also provides teachers with access to a vast library of quizzes, games, and other activities Aug 1, 2018 · Logarithm Laws The logarithm of a number to a given base is the power to which the base must be raised in order to produce the number. Class 11 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Author: Tutor World Online. youtube. 1 Indices and Logarithms, SPM Practice (Long Questions) Question 1: (a) Find the value of. An index can also be a fraction such as ½, ¾, or 2. 4. These numbers are governed by several indices rules that we will discuss here. If there are three quantities indicated by say a, x and n, they are related as follows: If a Apr 8, 2020 · Learn about the basics of Indices, Logarithms and Surds Worked Examples on Indices and Logarithms | Questions and Answers on Indices and Logarithms Download Free PDF View PDF King Fahd University of Petroleum and Minerals Prep-Year Math Program Math 001 -Term 141 Reading Mathematical Expressions & Arithmetic Operations Indices and Logarithm - Free download as PDF File (. For example, if you want to practice AA SL exam style questions that have Exponents & Logarithms in them, you can go to AA SL Topic 1 (Number & Algebra) and go to the Exponents & Logarithms area of the question bank. 5786 . 3) In division indices are subtracted and we represent an inverse by a negative index. ov yd bf ib kt uy bz re fs ps