K689:Raise a Number to a Fractional Power. We also provide a separate answer book to make checking your answers easier! Indices Worksheets Example 2. Further Indices . By signing up you agree to our terms and conditions and privacy policy. Learning math can be fun and rewarding! There are several laws of indices (sometimes called indices rules), including multiplying, dividing, power of 0, brackets, negative and fractional powers. So, to work out (\sqrt[2]{9})^3, we first have to square root 9, which is easy enough the square root of 9 is 3. Laws of Indices (Year 8) | Teaching Resources For instance, in $$10^{\frac{7}{9}}$$, $$9^{\text{th}}$$ the root of $$10$$ is multiplied $$7$$ times. Hundreds of randomly generated questions and answers. 6 0 obj Indices Rule 10: Negative Powers. true /ColorSpace 22 0 R /Intent /Perceptual /SMask 23 0 R /BitsPerComponent Roots - BBC Bitesize A worksheet for practising the use of negative indices. corbett maths negative indicesspinning top toy 70s. Level 6 - Mixed questions involving integer, negative and fractional indices Corbett Maths 5-a-day 16 y View Week 2 Narrated PPT Lesson/Video Expanding double brackets 17 Factorising quadratic expressions 20 Expanding brackets involving surds 26 Negative indices 28 Corbett Maths 5-a-day 31 If you are looking for some maths to do over the half term break, take a look at the following Example 1: finding the value of an expression involving index notation and multiplication. Answer all questions. Menu Skip to content. Multiplication Grids. 10 NEW GCSE Courses added to the MME Learning Portal! Negative Indices - Corbettmaths corbettmaths 159K subscribers Subscribe 1.2K 197K views 9 years ago Edexcel Higher Maths Corbettmaths - This video explains how to calculate negative. Brackets with indices. 2023 Third Space Learning. stream 24\times4 = 96 24 4 = 96. We could alternatively write the expression as \sqrt{4^3}, but in this case the first option is easier. September 2, 2019 corbettmaths. {$@$@$frTT1pMB)"*|HH@ +Eqc-Zd(I#Fg" ?$saJ(c/+LQ#x0{D$@I &iZ>7nd%,Yr3g MHH`a)Yhm6LVr7jG g_Woz*?I.A.3 Negative powers flip the fraction and put 1 over the number. 3 \times \frac{b^{-2}}{1} &=3 \times \frac{1}{b^{2}} \\ Try our Maths Topic Sheets these are great whether you are struggling with a topic, or need to for revise and prepare for school tests. Revise for your GCSE maths exam using the most comprehensive maths revision cards available. You might just want some questions for a bit of practice. Write 0.08 as a fraction. p k 93d_C81Y2FEk)(LO+KCdGv\7jGWmNX}l\ Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide. No calculator allowed! A selection of some of my favourite, free maths activities to use in lessons. << /Im1 12 0 R /Im5 20 0 R /Im4 18 0 R /Im2 14 0 R /Im3 16 0 R >> >> Find out more about our GCSE maths revision programme. Laws Of Indices - GCSE Maths - Steps, Examples & Worksheet Area and Circumference of Circles. (Up to 1:25), K691:Raise a Fraction to a Fractional Power. An index, or power, is the small floating number that appears after a number or letter. (a) The n th term of a sequence is 2 n + 2 n + 1. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. An index is a small number that tells us how many times a term has been multiplied by itself. % In this section we practice working with negative indices. authorised service providers may use cookies for storing information to help provide you with a Fractions: Adding (same denominators) Video 23 Questions Answers. An index number is a number which is raised to a power. Applying Properties of Exponents, fractional and negative indices - jigsaw 1, fractional and negative indices - jigsaw 2, tricky indices - jigsaw 3 tricky indices - jigsaw Express your answer in index form. Fractional and negative indices - Help for AQA Maths Mod 3 Higher Show Step-by-step Solutions. It's good to establish the laws of indices quickly when learning Indices. Indices or powers are used to write statements involving repeated multiplication in shorthand. 2. Answer all Questions. E.g. Read advice from maths teacher Jo Morgan about helping secondary students understand indices. Previous Distance Time Graphs Practice Questions. Possible Next Steps: Simplifying Basic Expressions, Differentiation, Properties of Numbers, Standard Form. Download the medium term plan by clicking on the button above. Maths : Indices - Introduction. Worksheets requiring arithmetic have been limited to integer calculation on the whole so you can use them with pupils who arent fluent in decimal/fractional arithmetic yet. It helps me solve math problems , i would definitely recommend people who are struggling with maths, thanks to the developers for keeping it mostly free. Log in above for the teachers version. Multiplying and dividing indices, raising indices to a power and using standard form are explained. Evaluating this final answer gives, Question 1: Write 9^5\times3^{-5} as a power of 3, So, we cant use any laws straight away since the terms dont have the same base. How to solve fractions with variables on one side | Math Index Thank you, Jo! An index number is a number which is raised to a power. However, the fraction needs to be simplified further. right!? Increasingly Difficult Exercises: Fractional Indices. Factors Video 22 Questions Answers. Example 2: Rewrite $$p^{\frac{6}{7}}$$ in the form of $$\left(\sqrt[n]{a}\right )^{m}$$. KS3/4 :: Number :: Powers, Roots & Laws of Indices. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. If you want a complete lesson, a Tarsia jigsaw, or a fun and Good luck! Get what you need to become a better teacher with unlimited access to exclusive free classroom resources and expert CPD downloads. (You can unsubscribe at any time.). Worked Solution. Indices are used to show numbers that have been multiplied by themselves. K432:Laws of Indices for Multiplying Powers. stream K693: Raise an Algebraic Term to a Fractional Power. Exam-Style Questions on Indices - Transum Corbett maths trigonometry worksheet. The following diagrams show fractional indices and how to evaluate them. K440: Raise an Algebraic Term to a Negative Power. Section C: Key topics from A-level maths. Step 3: Simplify to get the simplest form of the fractional index. find roots using indices. Indices Worksheets Example 2. The last two questions apply the same ideas to algebraic expressions. Where pupils have these pre-requisite skills, we recommend adapting the questions (where appropriate) to include this content. a. Equations with Indices. 22 = 4 2 2 = 4 So, Diagnostic Questions . 100% satisfied and would definitely recommend :). We also use third-party cookies that help us analyze and understand how you use this website. a means "a" squared which means "a" multiplied by "a". corbett maths negative indices Negative Indices (Foundation) - Practice Questions - Corbettmaths. pptx, 240.35 KB. We will cover 3 more complicated rules here. x{GO,$PM9#0`2L{ t0Dq.qH4&lii _&}_vMVw^=vuUu}HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH xg5+W\dXHHHWN:yaC:6.hXZsgkY*cQGMM'KYfaaAn]G3mv_kHHHK=zt t'Lm05)4:X7m1xFFE0iS?G g^|yw>3C^zJ|""k1v}]z~sXE$@$@I cqSf""%6W{D"##o{ -L5 X!p73%hJHELlt. Increasingly Difficult Exercises: Indices. Simplify. The fractional indices laws apply when the power is a fraction. Information come with answers. Algebra: substitution. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. endobj Section B: Higher GCSE and easier A-level. Good level of challenge + lots of misconceptions drawn out. This video shows a guide to indices and powers. Write an equation for y in terms of x. Websites in the World, My To help us show you teaching resources, downloads and more youll love, complete your profile below. When dealing with fractions it is easier to skip to step 2. Resourceaholic: Teaching Indices Directed Number. Check out our other pages to find out how. Maths Drills. Read each question carefully before you begin answering it. Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. Posts about Worksheets written by corbettmaths. Algebraic indices | QuickSense Prerequisites. Lots of credit goes to her for resources and ideas used in these lessons. K440:Raise an Algebraic Term to a Negative Power. tying off loose ends knitting 0.00 Cart. I have tried Finally using Rule 1we simplify the expression further. Negative Indices Textbook Answers - Corbettmaths. lesson, MAP: Answer the Questions in the spaces provided there may be more space than you need. corbett maths negative indices Division (short) Video 19 Questions Answers. Check out our website for tons of resources and tips to help you with your assignments. Jumpstart University. N7b Calculating with fractional indices. Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. In order to access this I need to be confident with: Here we will learn how to simplify and evaluate with negative indices for GCSE & iGCSE maths (Edexcel, AQA and OCR). 100% Free. A farm has an area of 12 km 2. By clicking continue and using our website you are consenting to our use of cookies Fractional and Negative Indices Instructions Use black ink or ball-point pen. Menu Skip to content. Simplify and leave your answer in index form. Dr J Frost (jfrost@tiffin.kingston.sch.uk)@DrFrostMaths . It really is one of the very best websites around. Last modified: 9th July 2021. New Further Maths. Maths Genie - Revision - Negative and Fractional Indices Interactive tools and activites to aid the teaching of mathematics. In this leaet we remind you of how this is done, and state a number of rules, or laws, which can be used to simplify expressions involving indices. \textcolor{red}{a}^{\large{\frac{\textcolor{blue}{b}}{\textcolor{limegreen}{c}}}} = \sqrt[\textcolor{limegreen}{c}]{\textcolor{red}{a}^\textcolor{blue}{b}}. % No products in the cart. View All Tables. For instance, $$5^0$$, $$x^0$$. . Inequalities Line Number Practice Questions Answers Textbook Answers 178. x3 x4 = x xx x x xx x 3 x 4 = x x x x x x x. GCSE Laws of Indices - DrFrostMaths In other words, the rule can also be written as, \textcolor{red}{a}^{\large{\frac{\textcolor{blue}{b}}{\textcolor{limegreen}{c}}}} = (\sqrt[\textcolor{limegreen}{c}]{\textcolor{red}{a}})^\textcolor{blue}{b}. Division (long) Video 19a. %PDF-1.3 Negative indices - Laws of indices - Edexcel - GCSE Maths Revision I have also included a BINGO activity to recap basic laws of indices before moving onto the more difficult content. Answer the questions in the spaces provided there may be more space than you need. Find the probability of getting exactly 6 girls in 8 births. Series of slides, questions/examples/starters I have used recently on negative/fractional indices. When y = 18.3 then x = 3. Indices - Videos 172, 174. Types of Numbers. K437:Raise a Fraction to a Negative Power. negative indices corbettmaths Now, we can work out the denominator, which we will write as, 8^{\frac{5}{3}}=\sqrt[3]{8^5}=(\sqrt[3]{8})^5. You must show all your working out. As it is a negative power we can rewrite this as, 8^{-\frac{5}{3}}=\frac{1}{8^{\frac{5}{3}}}. Exam Questions On Indices - Online Math Learning For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. Solutions. Next consider mixed numbers and decimals. 2 stars (the app is worth 5 but because of that now after editing you get 4) because of that stupid way you implemented the premium feature , I mean adding a premium mode to your app is perfectly okay if you add new features and then asking for money but taking something old and asking for money for that is complete laziness and lack of interest from the . Edexcel Exam Papers OCR Exam Papers AQA Exam Papers. The farmer must pay 1p tax for each m 2 of land he owns. y is directly proportional to x. xYMs7W(I'&4(N8>vW*r=RK@_/QwZN[yFDooFA(2FN6xbu3am xCu+C6?d;:ZQ]Kb+:CGdw* ]c|2d0~`D@)ic2)cdB pLnc*2Nfh 4 (no answers), Increasingly Using negative indices produces fractions. The Negative index. The worksheets are designed in landscape so they can be conveniently displayed on screen, as well as printed. Download File. Understand negative and zero indices. Level 5 - Evaluating indices expressed as fractions. Tracing paper may be used. Give your answers as whole numbers or fractions where necessary. Solving equations answers corbettmaths - Math Index GCSE Papers . Sorting out your medium term planning for KS1 science and KS2 science? The plural of index is indices. Raising a term to the power of means we find the cube root of it. %PDF-1.3 Indices | Rules, What & Examples | A Level Maths Revision Notes Simple rounding worksheets including number lines - Math Salamanders. Corbettmaths Negative Indices Worksheet (Q1-8) & Solutions Dr Frost resources Dr Frost Video K436: Raise a Number to a Negative Power. This video shows a guide to indices and powers. The power, also known as the index, tells you how many times you have to multiply the number by itself. Great, I aced Math, say goodbye to hard maths questions, always accurate. Integers, Powers and Roots - Medium Term Plan. Unformatted text preview: Free GCSE Maths Video Maths Topics Videos Video Topic Video Topic _____ _____ _____ _____ Video 1 Algebraic Fractions Video 9 Indices Video 2 Arcs & Sectors Video 10 Percentages Video 3 BBC BiteSize Video 11 Similar Shapes Video 4 Changing the Subject Video 12 Straight Lines Video 5 Equations & Inequations Video 13 Surds Video 6 Exam Close. Indices Name: _____ Instructions Use black ink or ball-point pen. Corbettmaths equations with indices - Math Practice Corbettmaths Videos, worksheets, 5-a-day and much more. You can get a limited selection of resources across the whole syllabus for free , and a basic account lets you do quick graded assessments which automatically adapt to your knowledge level. 3 b^{-2} &=3 \times b^{-2} \\ The marks for each question are shown Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Therefore, $$7^2\times 7^{-6}=7^{-2+6}=7^{-4}$$. Anything with a * next to it represents content that is brand new to GCSE Maths for the 2017 exams. We get negative indices by dividing two terms with the same base where the first term is raised to a power that is smaller than the power that the second term is raised to. corbett maths negative indicescuanto cuesta quitar una caries en colombia. E.g. Notice how the index only affects the variable b. 2. (Non calculator). &=\frac{1}{(2b)^{4}}\\ Dividing by 10, 100, 1000 Video 18 Questions Answers. Increasingly Difficult Exercises: Indices. Sometimes the AI can't understand the problem, but, there is a great edit mode for when it makes a mistake, so it is an easy fix. (b) Be able to raise a whole term to a power, e.g. Using the powers law of indices . worksheet, complete with answers. Maths revision video and notes on the topic of Negative and Fractional Indices. 50. A lesson I have prepared on Fractional and Negative Indices. They K691:Raise a Fraction to a Fractional Power. Division (short) Video 19 Questions Answers. Here is part of a number line 2. A level Maths (All Topics (brief)) Flashcards on Corbettmaths Flashcards, created by Holly Martin on 24/04/2018. For solving indices, there are some rules.. Learn about and revise how to multiply and divide indices, as well as apply negative and fractional rules of indices with GCSE Bitesize AQA Maths. Laws of Indices. Determine math questions. Corbett Maths offers outstanding, original Complete lessons from some of my Students need to use their powers of reasoning to explain why theyre seeing the results they are. K434:Laws of Indices for Raising a Power to a Power. Please read our, Example 1: no coefficient in front of the base, Example 2: with a coefficient in front of base, Example 3: with a coefficient in front of base, Simplify expressions involving the laws of indices, Calculate with roots, and with integer and fractional indices. Multiplying and dividing indices, raising indices to a power and using standard form are explained. Negative indices essentially give you the reciprocal of the expression. Password must contain at least 8 characters of which 1 uppercase, 1 number and 1 special character, It's been a chaotic year but Year 6 children still deserve the best ending to their primary journey, Lady Macbeth quotes Key lines for studying Shakespeares Macbeth in KS4 English, Sexual Health Week 2022 Great RSE education resources to use in school, Creative writing prompts Best activities and resources for KS1 and KS2 English, helping secondary students understand indices, KS3/4 Numeracy Significant figures Task sheet, Equation of a line KS3/4 worksheet with answers, Angles in parallel lines worksheet KS3 maths resource with answers, Expanding brackets worksheet KS3/4 maths resource with answers, Nth term questions KS3/4 linear sequences worksheet with answers, Pie Corbett Ultimate KS2 Fiction Collection, Expert Medium-Term Science Plans for Primary, Amazing Handwriting Worksheets for EYFS & KS1. 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. pdf, 370.64 KB. stream Higher Phase Weekly 'Corbett Maths 5-a-day' check ins perpendicular line equation to find the value of c. Get Help with Homework Looking for someone to help with your homework? Welcome to MathsDIY. You may also be asked to simplify expressions where the numerator is not \bf{1}. Grade 8/9 Topics. GCSE Edexcel Maths Revision Number Negative and Fractional Indices Addition and Subtraction Algebra Factorising Harder Questions Coordinates Ratio . Next in this negative and fractional indices worksheet theres some reasoning activities with fill-in-the-blanks style questions (Q7). Negative Indices Video 175 on www.corbettmaths.com Question 5: Put the expressions above in order, from smallest to largest, when: (a) x = 2 (b) x = 1 (c) x = 0.5 (d) x = 0.5 When you visit or interact with our sites, services or tools, we or our View all products. When there is a power outside the bracket multiply the powers. Try the free Mathway calculator and problem solver below to practice various math topics. Division (long) Video 19a. These practice papers are in the same format and style as the real exams, and come in A4 booklets. And best of all they Show Step-by-step Solutions. a 2 a 3 = = , a fraction. And best of all they all (well, most!) There are other names for an index, including power and also logarithm. Just Maths Number H Product of Primes, HCF & LCM v2 Number H Product of Primes, HCF & LCM v2 SOLUTIONS 1.4 Calculating with Powers (Indices) - Use powers and roots in calculations - Multiply and divide using index laws - Work out a power raised to a power Dr Frost Powers, Roots & Laws of Indices Just Maths Revise about how to multiply and divide indices, as well as apply negative and fractional rules of indices with this BBC Bitesize GCSE Maths Edexcel guide. Level 4 - Multiplying, dividing and raising to another power. Mr Barton Maths When we cancel the common factors of x. I have tried out each and every one with my students. &a(2 b)^{-4}\\ Fractional indices: If the index of a number is in fractional form, then it is termed fractional indices. have kindly allowed me to create 3 editable versions of each Simplifying algebraic equations corbettmaths - Math Index A Level Revision A Level (Modular) Revision. Home; Videos and Worksheets; 5-a-day; Study Cards; Practice Papers; July 31, 2018 July 31, 2018 corbettmaths. Full Coverage: Laws of Indices - DrFrostMaths engaging lesson activity, then you have come to the right place! It is mandatory to procure user consent prior to running these cookies on your website. Negative, Alutwyche: Simplifying Indices 3 - Cut and Stick, Mr B's Good After studying this section, you will be able to: divide and multiply algebraic expressions using indices. This website uses cookies to improve your experience while you navigate through the website. Write the following as fractions without indices: a. KS1 KS2 (Lower) KS2 (Upper) KS3 GCSE Foundation GCSE Higher. Rounding spiders - alutwyche on TES. (b) The n th term of a different sequence is 9 ( 3 n + 3 n + 1) Expand and express this expression as the sum of two powers of three. For instance, $$2^4$$, $$a^5$$. Questions. xXn6}WL@#}khq@Q}p;qu$vNj&%/\I-lw~'VvEi~"&)^@6> M@7R+/O+U-SSRZA^*A]S $^b0m1:BKCM(&+t7. Fractions: Adding (same denominators) Video 23 Questions Answers. Name. corbett maths negative indices - fabienchapus.com Learn GCSE Maths Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Edexcel IGCSE Maths GCSE Statistics. Finding the equation of a perpendicular line corbettmaths. Solutions. They are only available on MME! 2 Identify the operation/s being undertaken between the terms. From our work in the last section, we see that. Since the power is positive, it is a positive index. 4. "Full Coverage": Laws of Indices This worksheet is designed to cover one question of each type seen in past papers, for each GCSE Higher Tier topic. Level 9 GCSE Maths Papers 2022 are designed for students who want to achieve the top grades in their GCSE Maths exam. The temperature in Watford is 9C colder than Redtown Towns Temperature Leek -8C 3. &=3 \times \frac{b^{-2}}{1} Objectives: (a) Understand laws for multiplying power expressions, raising a power to a power and dealing with 0 or negative exponents. The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country. You'll also receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. An index, or power, is the small floating number that appears after a number or letter. Increasingly Difficult Exercises: Fractional and Negative Indices Increasingly Difficult Exercises: Solving Equations with Indices Dr Frost: Sherlocked - Laws of Indices Dr Frost: Law of Indices Head to Head Alutwyche: Defuse the bomb indices Alutwyche: Simplifying Indices Match Up Alutwyche: Indices Codebreakers We get negative indices by dividing two terms with the same base where the first term is raised to a power that is smaller than the power that the second term is raised to. Welcome; Videos and Worksheets; Primary; 5-a-day. Fraction and Ratio Shading. Make sure you are confident with the following topics before moving onto laws and indices. (3m^2)^4 = 81m^8. Negative and fractional indices worksheet with answers - Teachwire Post navigation. The sweets are all red, yellow or green in the ratio of 4 : 2 : 3. Directed Number Patterns. \textcolor{red}{x}^{\large{\frac{\textcolor{limegreen}{1}}{\textcolor{blue}{2}}}}= \sqrt[\textcolor{blue}{2}]{\textcolor{red}{x}^\textcolor{limegreen}{1}} =\sqrt[\textcolor{blue}{2}]{\textcolor{red}{x}}, \textcolor{red}{x}^{\large{\frac{\textcolor{limegreen}{1}}{\textcolor{blue}{3}}}}= \sqrt[\textcolor{blue}{3}]{\textcolor{red}{x}^\textcolor{limegreen}{1}} =\sqrt[\textcolor{blue}{3}]{\textcolor{red}{x}}, Note: it doesnt matter which order you carry out the square root and multiplication operations. (a) Know laws of indices for multiplying, dividing, raising a power to a power. Answers. Set personalised, comprehensive and scaffolded work quickly from your markbook. E.g. 18.5 Calculating with Standard Form. Homework Support Solutions. All lessons I create I use myself as well as share to my own department. Find the amount of tax the farmer must pay. Page 4. We can provide expert homework writing help on any subject. Negative indices Power of 0 Brackets with indices Index notation How to use fractional indices For example here we have a base number of 8 that has been raised to a fractional power 82 3 8 2 3 As the denominator is 3 we have to find the cube root of 8 . Roots are ways of reversing this. You must show all your working out. favourite authors. docx, 11.62 KB. Mathster is a fantastic resource for 1 0. You may find it helpful to start with the main laws of indices lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. But opting out of some of these cookies may affect your browsing experience. Covers laws of indices (including fractional and negative indices), solving equations involving indices (IGCSE FM syllabus) and raising a single term to a power. [2 marks] We now know that 4^ {-3} 43 is equal to \dfrac {1} {4^3} 431. 3 (no answers), tricky indices - jigsaw 3 tricky indices - jigsaw Indices - Mathematics A-Level Revision But using the division law of indices we know that. 1. (Level 5) 255 53 [2 marks] Answer Turn over for docx, 11.59 KB. 3. We also know that 4^3=4\times 4\times 4=16\times 4=64 43 = 4 4 4 = 16 4 = 64. right!? better, faster and safer experience and for marketing purposes. Just like other operations in maths (+, -, x,), Indices are a type of math operations. Powers, Roots & Laws of Indices (for selecting more than one), Download Indices PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together), Manipulating Formulae/ Changing the Subject, Ratio & Basic Proportion (Including Conversions), Trigonometry Part 2 Identities & Equations, Trigonometry (Part 1) Reciprocal Functions, Notice an error, have a suggestion or any other feedback? Multiplication Textbook 1 and Textbook 2 - Corbett Maths; Multiplying positive integers - lessons from Boss Maths; Multiplication methods (teacher resource) Access Maths; Fractional and negative indices - @taylorda01 ; Fractional Indices Always/Sometimes/Never - MathsPad; (Level 5) 5 2 3 2 4 2 10 6 [2 marks] Answer 5 Write the following expression as a power of 5.
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