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true /ColorSpace 22 0 R /Intent /Perceptual /SMask 23 0 R /BitsPerComponent many years. Not registered with Teachwire? 2 Identify the operation/s being undertaken between the terms. Posts about Worksheets written by corbettmaths. Express your answer in index form. y is directly proportional to x. You'll also receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. N7a Calculating with positive and negative integer indices. K690:Raise a Number to a Fractional and Negative Power. 5 0 obj Lots of credit goes to her for resources and ideas used in these lessons. Using negative indices produces fractions. K767:Use Change of Base to Form a Linear Formula. It's good to establish the laws of indices quickly when learning Indices. K689:Raise a Number to a Fractional Power. creating online and paper-based assessments and homeworks. Write 0.08 as a fraction. Therefore, 7^2\times 7^ {-6}=7^ {-2+6}=7^ {-4} 72 76 = 72+6 = 74. 4.726315789473684 53 reviews. 6. Level 3 - Evaluating negative and zero indices. Thus, the simplified value of $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$ is $$24x^3$$. Since the power is negative, it is a negative index. rGP y(XNKg,By. Instructions Use black ink or ball-point pen. Difficult Exercises: Negative Indices, Increasingly The laws of indices Introduction A power, or an index, is used to write a product of numbers very compactly. The Corbettmaths Practice Questions on Fractional Indices. The plural of index is indices. Average satisfaction rating 4. . Diagrams are NOT accurately drawn, unless otherwise indicated. The base number is 3 and is the same in each term. N6a Using powers and roots. You also have the option to opt-out of these cookies. Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance ; Work out the value of 64 2/3; Work out all solutions of the equation: 8 m = 2 m 2; Show clearly that 4 3/2 = 8Hence, or otherwise, work out the value of y if 4 y = 8 6; Write down the value of 2 0. (You can unsubscribe at any time.). favourite authors. Rounding spiders - alutwyche on TES. An index is a small number that tells us how many times a term has been multiplied by itself. Fractional negative indices Author: John Corbett Created Date: 5/7/2014 9:25:53 PM . NPm0!"9:!@Q:A=w+rBfj J23~l"A=x[bn/e#88Y^-UG7^7!j,xH K/[{_r;^^Tb2l `wNA&:@ ":h _ So, $$2$$ is the base and $$4$$ is the index. Using the division law of indices . When dividing indices with the same base, subtract the powers. Step 3: Simplify to get the simplest form of the fractional index. Maths revision video and notes on the topic of Negative and Fractional Indices. These practice papers are in the same format and style as the real exams, and come in A4 booklets. stream 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 Laws of indices. Covers laws of indices (including fractional and negative indices), solving equations involving indices (IGCSE FM syllabus) and raising a single term to a power. View all students answers, scores and comments and hold them accountable for their effort. a means "a" squared which means "a" multiplied by "a". We also provide a separate answer book to make checking your answers easier! For instance, $$2^4$$, $$a^5$$. There are other names for an index, including power and also logarithm. Name: Level 2 Further Maths Ensure you have: Pencil or pen Guidance 1. Interactive tools and activites to aid the teaching of mathematics. Homework Support Solutions. Rich Tasks . ?DV#$sW-;YX)'! endobj In Q9 they need to write examples in index form. Next consider mixed numbers and decimals. The last two questions apply the same ideas to algebraic expressions. It really is one of the very best websites around. &a(2 b)^{-4}\\ 3 b^{-2} &=3 \times b^{-2} \\ Applying Properties of Exponents, fractional and negative indices - jigsaw 1, fractional and negative indices - jigsaw 2, tricky indices - jigsaw 3 tricky indices - jigsaw ]_f%C$@$@!B`EWMLJF}+4V_|XD5jX7H$@$@@ #^J7mD_ #HH$@$@AI ;6lCAU)SIHeZzY;iPL&8/GF3$@$@!N k)l7+/us1@2L> .gbl?t7,K63IK||? The profit from every set is reinvested into making free content on MME, which benefits millions of learners across the country. IM MIS-INS|. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. Finally using Rule 1we simplify the expression further. Complete lessons from some of my stream The negative index number means we need to find the reciprocal, so. All lessons I create I use myself as well as share to my own department. Videos, worksheets, 5-a-day and much more Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths to help students learn the multiplication rule, division rule and power rule of indices. for using this wonderful free resource, and to get hold of the %PDF-1.3 Worksheet Answers. 3. 3x3 cube how to solve Can delta h be negative Construction calculator pro free download Cube faces edges corners How to find rank of a matrix in r How to study for math How to write a root as an exponent How to write an exponential function whose graph passes through points How wide is 5mm in inches Math finding angles Modular system of . The plural of index is indices. It's really good for doing problems fast and easy. 5-4 = j. Another way of expressing 4 3 is. 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. Question 12 Categorisation: Combine laws of indices with laws of surds, in particular recognizing that =( ) = , i.e. MASH also provides additional 1-1 support with any maths or stats related to your course. 3C;Srg;C>c)e +h - Convert numbers from standard form with negative powers into ordinary numbers. Menu Skip to content. The Textbook Exercise on Negative Indices. Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. Name. The index only applies to the variable b and not the coefficient 3. Division. negative_indices.pdf. Post navigation. These cookies will be stored in your browser only with your consent. The Corbettmaths Practice Questions on Negative Indices for Foundation GCSE Maths. Guaranteed Originality. Simplify the following, 9^{\frac{3}{2}}. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. K693: Raise an Algebraic Term to a Fractional Power. Laws of Indices. Set personalised, comprehensive and scaffolded work quickly from your markbook. 10 NEW GCSE Courses added to the MME Learning Portal! Your personal data will be used to support your experience throughout this website, to manage access to your account, and for other purposes described in our privacy policy. For instance, in $$10^{\frac{7}{9}}$$, $$9^{\text{th}}$$ the root of $$10$$ is multiplied $$7$$ times. Powers and Roots. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. There are other names for an index, including power and also logarithm. Download all files (zip) Negative indices are powers (also called exponents) with a minus sign in front of them. Express your answer in index form. However, the fraction needs to be simplified further. When dealing with fractions it is easier to skip to step 2. September 11, 2016 corbettmaths. James Corbett Because even if u are a shark in maths u one day u will find difficulty in something, just take a picture, crop out the problem, and bam. The questions in this worksheet have been designed to allow your students to have a go at all significant aspects of the content, but also to notice something about the structure behind each content area. endobj Q3 in this excellent resource covers unit fractional indices to all of these types of numbers, before bringing in non-unit fractional indices in Q4. &=\frac{1}{2b\times2b\times2b\times2b}\\ Positive indices: If the index of any number is a whole number, then it is termed as a positive index. I have big plans for Blacksmith Maths. K434:Laws of Indices for Raising a Power to a Power. Powers of quotients. Tools. Find how many yellow sweets are in the packet. K439:Raise an Algebraic Term to a Positive Integer Power. This is commonly use to show square and cube roots. View all products. Negative indices are powers (also called exponents) with a minus sign in front of them. How to solve negative indices. Homework Help Online. Difficult Exercises: Fractional and Negative Indices, Increasingly a 2 a 3 = a 2 - 3 = a -1: but we know that. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. Weekly online one to one GCSE maths revision lessons delivered by expert maths tutors. 4 0 obj Caluculate a power raised to a power Corbett: Laws of Indices Collins: p50 Use Negative Indices. [Edexcel GCSE Nov2011-3H Q18b] 2 = 1 4 Write down the value of . A worksheet for practising the use of negative indices. Each resource contains an original text in Inspire KS2 pupils to be creative and express themselves with this pack of Pie Corbett poetry. 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. Corbettmaths Primary Primary 5-a-day, videos, worksheets and more. Equations with Indices. 2. stream Indices and powers. Indices Name: _____ Instructions Use black ink or ball-point pen. Step 1: Recall the formula a^ {m}\times a^ {n}=a^ {m+n} am an = am+n. - Multiply and divide numbers in standard form. a. Difficult Exercises: Fractional Indices, Increasingly Learn Maths, Boss Maths N7a - Calculating with positive and negative integer indices: 3-5: Squares roots, Cubes roots, Indices, Indexes, powers of a numbers: Number: N7b - Calculating with fractional indices: 5-7: Squares roots, Cubes roots, Indices, Indexes, powers, fractions of 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. Grade 8/9 Topics. Get your free negative indices worksheet of 20+ questions and answers. software yourself. `. If some number is raised to some power, then the power it is raised to is the index of that number. Then remember that multiplying a positive number by a negative number gives a negative, so the answer is: 2 4 4 = 9 6. Series of slides, questions/examples/starters I have used recently on negative/fractional indices. Indices Worksheets Example 1 Indices refers to the power symbol we write just above numbers or terms. On most occasions the positive root is the only one required. WJEC GCSE Maths Practice Papers are great preparation for your GCSE Maths exams in 2023. Try the free Mathway calculator and problem solver below to practice various math topics. 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}. E.g. Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. A selection of some of my favourite, free maths activities to use in lessons. Two roots could be written. Prerequisites. Past Paper Questions by Topic. I'm always looking to better my lessons in such elements as: the quality of content; quantity; engagement of the pupils; exam prep; efficiency of the lesson; retention curve; accessibility and challenge and various others. You might just want some questions for a bit of practice. 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 . Identify whether the base numbers for each term are the same. We know that \sqrt[3]{8}=2. Q6 explictly asks for a surd form. Primary 5-a-day, videos, worksheets and more A selection of some of my favourite, free maths activities to use in lessons. Some topics have additional worksheets which contain Challenge and Problem Solving questions. You must show all your working out. It's good to establish the laws of indices quickly when learning Indices. The plural of index is indices. Whether you want a homework, some cover work, or a lovely bit of )6#IF=3JouECnWXFQ)YE-,^_Qf7E9nGovAHKVA*@p(, pccQd22i-6B&L1+eFf&c@&1V:&4UOv0~ah8y1k]#]rg This section covers Indices revision. . Indices Worksheets Example 2. Fractional and Negative Indices, MASH video on Fractional Indices Corbett maths worksheet on solving simultaneous linear equations by elimination. VuuPGf(x7f E!#yzq5! =(ap4W(JnwWH File Size: 257 kb. E.g. Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. You may also be asked to simplify expressions where the numerator is not \bf{1}. Step 1: Recall the formula $$\sqrt[n]{a}=a^\frac{1}{n}$$, Step 2: Recall the formula $$\left (a^m \right )^{n}=a^{mn}$$. engaging lesson activity, then you have come to the right place! %PDF-1.3 Hes the author of Visible Maths and Conceptual Maths (Crown House Publishing). Indices are used to show numbers that have been multiplied by themselves. Edexcel Exam Papers OCR Exam Papers AQA Exam Papers. Simplify. Absolutely fabulous to use during Quarantine as a student. \textcolor{red}{a}^{\textcolor{blue}{-1}}=\dfrac{1}{\textcolor{red}{a}}, \textcolor{red}{10}^{\textcolor{blue}{-1}} = \dfrac{1}{\textcolor{red}{10}}, Go back to the main GCSE Maths topic list, Mon - Fri: 09:00 - 19:00, Sat 10:00-16:00, Not sure what you are looking for? There are few better places to your own Indices can also be called powers or exponents. All rights reserved.Third Space Learning is the trading name of Virtual Class Ltd, \[x^{3} \div x^{4}=\frac{x \times x \times x}{x \times x \times x \times x}\], \[\frac{\not x \times \not x \times \not x}{\not x \times \not x \times \not x \times x}\], \[x^{-2}=\frac{x^{-2}}{1}=\frac{1}{x^{2}}\], \[2^{-3}=\frac{2^{-3}}{1}=\frac{1}{2^{3}}=\frac{1}{8}\], \[\begin{aligned} Indices refers to the power symbol we write just above numbers or terms. The numerator of the fraction is power, and the denominator of the fraction stands for the type of root. Radio 4 podcast showing maths is September 2, 2019 corbettmaths. Q3 in this excellent resource covers unit fractional indices to all of these types of numbers, before bringing in non-unit fractional indices in Q4. We can however evaluate these calculations. Dividing by 10, 100, 1000 Video 18 Questions Answers. Dividing indices. pdf, 370.64 KB. 5. So, that leaves 6^{-2}, this becomes the following fraction, Multiplying our two answers together, we get, \sqrt{9}\times 6^{-2}=3\times\dfrac{1}{36}=\dfrac{3}{36}=\dfrac{1}{12}, Question 3: Work out 4^{\frac{1}{2}}\times4^{\frac{3}{2}}. building a strong structure with index cards ohio obituaries this week In northside hospital gwinnett financial assistance ohio obituaries this week In northside hospital gwinnett financial assistance Great, I aced Math, say goodbye to hard maths questions, always accurate. View All Starters and Drills. You must show all your working out. Description of Levels. The MME GCSE maths revision guide covers the entire GCSE maths course with easy to understand examples, explanations and plenty of exam style questions. Multiplication Grids. Inequalities: (one sign) Practice Questions Answers Textbook Answers 179. For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. Below is an example of a term written in index form: 4 3 4 3. negative_indices_answer_sheet.pdf. KS3/4 :: Number :: Powers, Roots & Laws of Indices. Since the power is positive, it is a positive index. When you visit or interact with our sites, services or tools, we or our '~n9GL~P+(+ $9yF xR(VoIR(b3j7njz}jKx0ps|Qn@a% Next consider mixed numbers and decimals. A worksheet on Negative Numbers. The power, also known as the index, tells you how many times you have to multiply the number by itself. Raising a term to the power of means we find the square root of it. E.g. K438:Determine an Unknown Power e.g. Multiply and divide using index laws. Just answer questions and you will get an A - A* - guaranteed. Other lessons in this series include: To make the negative index positive we put the term over 1 and flip it. Find the probability of getting exactly 6 girls in 8 births. &=\frac{1}{(2b)^{4}}\\ And then it's just a case of students remembering the laws and practising them until they become fluent. Thank you, Jo! Information come with answers. Increasingly Difficult Exercises: Indices. Give your answer in its simplest form. Corbettmaths Videos, worksheets, 5-a-day and much more. The profit from every pack is reinvested into making free content on MME, which benefits millions of learners across the country. So, (\sqrt[2]{9})^3 becomes 3^3, which is, Write 2^{15}\times 8^{-4} as a power of 2, and hence evaluate the expression. Menu Skip to content. Simplify 3 2 3 3. [2 marks] We now know that 4^ {-3} 43 is equal to \dfrac {1} {4^3} 431. K440:Raise an Algebraic Term to a Negative Power. out each and every one with my students. (c) Deal with problems involving a mixture of bases. 3 3 further more complex rules which can be found in the laws of indices page. The farmer must pay 1p tax for each m 2 of land he owns. 24\times4 = 96 24 4 = 96. You must show all your working out. Example 1: Determine if $$5^4\times 5^3$$ has a positive, negative or zero index. cuanto cuesta quitar una caries en colombia, Fanning Funeral Home Welch, Wv Obituaries, How To Check Homestead Exemption Status Broward County, what cards does paypal accept for instant transfer, what does let's go brandon mean in politics, illinois high school lacrosse association. Fractions: Adding (same denominators) Video 23 Questions Answers. 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. Home; Videos and Worksheets; 5-a-day; Study Cards; Practice Papers; July 31, 2018 July 31, 2018 corbettmaths. exam style questions on any topic, as well as videos, past papers Level 9 GCSE Maths Papers 2022 are designed for students who want to achieve the top grades in their GCSE Maths exam. But opting out of some of these cookies may affect your browsing experience. Information The marks for each question are shown in brackets Interactive Resources . (Up to 1:25), K691:Raise a Fraction to a Fractional Power. For instance, $$2^{4}=2\times 2\times 2\times 2$$. I have been a Tarsia fan for \begin{aligned} Corbett: Estimation Collins:p95 Write a number of the product of its prime factors. We also know that 4^3=4\times 4\times 4=16\times 4=64 43 = 4 4 4 = 16 4 = 64. stream Division (short) Video 19 Questions Answers. Write the following as fractions without indices: a. KS1 KS2 (Lower) KS2 (Upper) KS3 GCSE Foundation GCSE Higher. find roots using indices. Log in above for the teachers version. We could alternatively write the expression as \sqrt{4^3}, but in this case the first option is easier. K433:Laws of Indices for Dividing Powers. 3-4 = c. 2-3 = d. 10-2 = e. 4-3 = f. 3-3 = g. 11-2 = h. 2-8 = i. Factors Video 22 Questions Answers. JX. Rewrite the subtraction operations as addition of negative numbers. Dividing by 10, 100, 1000 Video 18 Questions Answers. Page 6. 2. Following Jo Morgan's workshop at MathsConf15, I've completely redesigned my lesson resources for this topic. \textcolor{red}{64}^{\large{\frac{\textcolor{limegreen}{2}}{\textcolor{blue}{3}}}}= \sqrt[\textcolor{blue}{3}]{\textcolor{red}{64}^\textcolor{limegreen}{2}}, \sqrt[\textcolor{blue}{3}]{\textcolor{red}{64}} = \textcolor{red}{4}, \textcolor{red}{4}^\textcolor{limegreen}{2} = \textcolor{red}{16}, Negative powers flip the fraction and put 1 over the number. Indices - Videos 172, 174. Fire up KS2 pupils' imagination with this collection of 16 fictional stories, written by literacy expert Pie Corbett. For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. Level 2 - Evaluating positive indices with a calculator. Contact me at westiesworkshop@gmail.com, 3.3 Fractional Powers numerator not 1, possibly negative, Whole Topic Summary Resources (Including Past Paper Questions), Powers and Roots (Integer Powers) Topic Review, Powers and Roots (Fractional & Negative Indices) Topic Review, Simplify to powers of 3 or 5, then apply laws of indices, Powers and Roots (Change of Base) Topic Review, Investigating Algebraic Powers Activity (, Simplifying Using Power Laws Practice Strips (, Simplifying Expressions Involving Brackets and Powers (, Fractional and Negative Indices True or False (, Negative & Fractional Indices AQA Level 2, Powers and Roots Revision Practice Grid (, Equations Involving Indices/Roots AQA Level 2. For instance, $$5^0$$, $$x^0$$. Axioms and arrays. \textcolor{red}{a}^{-\textcolor{limegreen}{b}} = \dfrac{1}{\textcolor{red}{a}^\textcolor{limegreen}{b}}. \end{aligned}\], \[\frac{\left(\frac{2}{3}\right)^{-2}}{1}\], \[\frac{1}{\left(\frac{2}{3}\right)^{2}}\], \[\frac{1}{\left(\frac{2}{3}\right)^{2}}=\frac{1}{\frac{2^{2}}{3^{2}}}=\frac{1}{\frac{4}{9}}\], \[\frac{1}{\frac{4}{9}}=1 \div \frac{4}{9}=1 \times \frac{9}{4}=\frac{9}{4}\], \[\left(\frac{2}{3}\right)^{-2}=\left(\frac{3}{2}\right)^{2}=\frac{3^{2}}{2^{2}}=\frac{9}{4}\]. extra practise, this is the place for you. And best of all they Corbettmaths has the lowest Google pagerank and bad results in terms of Yandex topical citation index. 2. Pythagoras' Theorem (Corbett Maths). Thus, we have written the expression as a power of 3. Factors Video 22 Questions Answers. Fraction and Ratio Shading. Laws of Indices: Worksheets with Answers. I have tried Corbettmaths Videos, worksheets, 5-a-day and much more. Level 2 Certificate in Further Mathematics. better, faster and safer experience and for marketing purposes. Includes reasoning and applied questions. Math Index. An index number is a number which is raised to a power. Information Examples, solutions, and videos to help GCSE Maths students learn about negative and fractional indices. Negative, Alutwyche: Simplifying Indices 3 - Cut and Stick, Mr B's Good In general, the result of a negative power is \bf{1} over that number to the positive power, i.e. The rules make complex calculations that involve powers. 10 10 indices rules. No products in the cart. We will guide and support you with Maths learning in year 9, 10 and 11, as well as support effective GCSE Maths revision for exam success. 6 0 obj They are only available on MME! Previous Cube Roots Video. Sign Up Now. << /Length 5 0 R /Filter /FlateDecode >> Edexcel Exam Papers OCR Exam Papers AQA Exam Papers. K435:Expand a Single Bracket Using Index Laws. Answer all questions. (You can unsubscribe at any time.). Resource packs to supercharge your planning, I would like to receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. These sessions are free to all University of Sheffield students. An index number is a number which is raised to a power. Learn GCSE Maths Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Edexcel IGCSE Maths GCSE Statistics. There are a number of important rules of index numbers: y a y b = y a+b Examples 2 4 2 8 = 2 12 Tracing paper may be used. authorised service providers may use cookies for storing information to help provide you with a Corbett maths trigonometry worksheet. The first part of the expression is a power of 2, whilst the second part is a power of 8. Increasingly Difficult Exercises: Negative Indices. &=3 \times \frac{b^{-2}}{1} Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. Subtracting a negative is the same as adding a positive. (am)n = amn ( a m) n = a m n. Step-by-step guide: Brackets with indices. Example 2: Determine if $$7^2\times 7^{-6}$$ has a positive, negative or zero index. 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. Page 4. 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? 1 0. An index number is a number which is raised to a power. What are Indices? Finding the equation of a perpendicular line corbettmaths. 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 . 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. Blog Post Reads, Links to the Best Maths Read advice from maths teacher Jo Morgan about helping secondary students understand indices. 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. The sweets are all red, yellow or green in the ratio of 4 : 2 : 3. Dr Frost Slides & Activities Slides & Worksheet Topic Test Standard Test Extra Questions Dr Frost Questions Key Skills % 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.