Websites in the World, My A great thankx to This app inc. Maths revision video and notes on the topic of Negative and Fractional Indices. The Corbettmaths Practice Questions on Negative Indices for Foundation GCSE Maths. (3m^2)^4 = 81m^8. Im Kerry, a maths teacher with over 25 years experience including as Head of Mathematics and more recently ten years running a tuition centre. Simplify and leave your answer in index form. Maths Begin this negative and fractional indices worksheet by looking at integers and proper fractions raised to negative indices (Q1). 6 0 obj Focus your time on the mistakes and misconceptions of your students and give them the feedback to improve. Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. 24\times-4=-96 24 4 = 96. 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. GCSE :: Laws of Indices. corbett maths negative indicescuanto cuesta quitar una caries en colombia. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. Just answer questions and you will get an A - A* - guaranteed. Some topics have additional worksheets which contain Challenge and Problem Solving questions. A selection of some of my favourite, free maths activities to use in lessons. Read each question carefully before you begin answering it. Videos, worksheets, 5-a-day and much more Just Maths. Clear up mathematic question 3 3 further more complex rules which can be found in the laws of indices page. You must show all your working out. One to one maths interventions built for KS4 success, Weekly online one to one GCSE maths revision lessons now available. Name. Laws of Indices. CORBETTMATHS 2018. Negative Indices x ^-n = 1/x^n x^0 = 1 Limits of accuracy The height of a lighthouse is 48m to the nearest metre. xYMs7W(I'&4(N8>vW*r=RK@_/QwZN[yFDooFA(2FN6xbu3am xCu+C6?d;:ZQ]Kb+:CGdw* ]c|2d0~`D@)ic2)cdB pLnc*2Nfh September 2, 2019 corbettmaths. (a) Know laws of indices for multiplying, dividing, raising a power to a power. Further Indices . K149:Multiply Algebraic Terms With Powers. We also know that 4^3=4\times 4\times 4=16\times 4=64 43 = 4 4 4 = 16 4 = 64. (Non calculator). Axioms and arrays. and 5-a-day. %PDF-1.3 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. For instance, $$2^4$$, $$a^5$$. The thermometer below shows the temperature at 6am in a town The temperature increases by 7C by 10am Corbettmaths 2018 Diagrams are NOT accurately drawn, unless otherwise indicated. Simple rounding worksheets including number lines - Math Salamanders. Textbook Exercise Previous Laws of Indices (numerical) Textbook Exercise Next Inequalities Textbook Exercise Given we know that \sqrt4=2 , this becomes. Menu Skip to content. K433:Laws of Indices for Dividing Powers. Corbettmaths - This video goes through the laws of indices needed for both the foundation and higher tiers. Super amazing I am a student in math and this will get me higher grades for sure I will definitely recommend this. am an = amn a m a n = a m n. Step-by-step guide: Dividing indices. 1. Negative Indices Textbook Answers - Corbettmaths. Increasingly Difficult Exercises: Fractional Indices. Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost, Formulae and Simplifying Expressions Key Skills Section(for selecting more than one), Powers, Roots & Laws of Indices Key Skills Section(for selecting more than one). endobj Raising a term to the power of means we find the cube root of it. all (well, most!) N7b Calculating with fractional indices. Sorting out your medium term planning for KS1 science and KS2 science? Level 1 - Evaluating positive indices without a calculator. Where pupils have these pre-requisite skills, we recommend adapting the questions (where appropriate) to include this content. The following resources are ideal for your GCSE Maths Revision. Step 2: Determine the index type. "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. Since the power is negative, it is a negative index. Laws of Indices: Worksheets with Answers. Information The marks for each question are shown in brackets Interactive Resources . K694:Raise an Algebraic Term to a Fractional and Negative Power. 3. You must show all your working out. Distance Charts. Division. %PDF-1.3 The numerator of the fraction is power, and the denominator of the fraction stands for the type of root. Example 1: Negative Powers Simplify the following, 4^ {-3} 43. K440:Raise an Algebraic Term to a Negative Power. find roots using indices. Number of the Day. By clicking continue and using our website you are consenting to our use of cookies Series of slides, questions/examples/starters I have used recently on negative/fractional indices. I have used other lessons from TES and added my own interpretation as well as added some additional questions. Download File. Finding the equation of a perpendicular line corbettmaths. You might just want some questions for a bit of practice. Fractional and Negative Indices Instructions Use black ink or ball-point pen. After studying this section, you will be able to: divide and multiply algebraic expressions using indices. Indices Rule 10: Negative Powers. JX. << /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] /ColorSpace << /Cs1 7 0 R 3. [2 marks] We now know that 4^ {-3} 43 is equal to \dfrac {1} {4^3} 431. Notice that in this example we chose to perform the \sqrt{4} operation before cubing the answer. Deff recommend this app. &=\frac{1}{(2b)^{4}}\\ Practice Questions. ]_f%C$@$@!B`EWMLJF}+4V_|XD5jX7H$@$@@ #^J7mD_ #HH$@$@AI ;6lCAU)SIHeZzY;iPL&8/GF3$@$@!N k)l7+/us1@2L> .gbl?t7,K63IK||? right!? ; 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. 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. Prerequisites. Information Examples, solutions, and videos to help GCSE Maths students learn about negative and fractional indices. Fraction and Ratio Shading. We can however evaluate these calculations. Rich Tasks . These cookies do not store any personal information. Understand negative and zero indices. Step 2: Substitute the value of $$\frac{6}{7}$$, $$p^{\frac{6}{7}}=p^{\frac{1}{7}\times6}$$, $$p^{\frac{1}{7}\times6}=\left(p^\frac{1}{7} \right )^6$$, In this section, we learn how to use these rules of indices efficiently., Step 1: Recall the law of indices that has to be used, Step 2: Apply formula and get the answer. We are here to help you with all of your homework needs! Express your answer in index form. Worksheet Name 1 2 3 Indices Rules - Basics 1 2 3 Indices Rules - Advanced 1 2 3 Corbett Maths keyboard_arrow_up Back to Top Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Express your answer in index form. Applying Properties of Exponents, fractional and negative indices - jigsaw 1, fractional and negative indices - jigsaw 2, tricky indices - jigsaw 3 tricky indices - jigsaw Sign up for free, Negative and fractional indices worksheet GCSE maths resource with answers. GCSE Edexcel Maths Revision Number Negative and Fractional Indices Addition and Subtraction Algebra Factorising Harder Questions Coordinates Ratio . Section A: GSCE-level maths. K434:Laws of Indices for Raising a Power to a Power. Step 3: Simplify to get the simplest form of the fractional 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. GCSE Maths Takeaway. Evans Business Centre, Hartwith Way, Harrogate HG3 2XA. Questions. pdf, 370.64 KB. WJEC GCSE Maths Practice Papers are great preparation for your GCSE Maths exams in 2023. Laws of indices as applied to products. x2 x 2. And then it's just a case of students remembering the laws and practising them until they become fluent. IM MIS-INS|. They are only available on MME! 100% satisfied and would definitely recommend :). 2. Negative, Alutwyche: Simplifying Indices 3 - Cut and Stick, Mr B's Good The last two questions apply the same ideas to algebraic expressions. The Negative index. Increasingly Difficult Exercises: Indices. 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. These GCSE Maths revision cards are relevant for all major exam boards including AQA, OCR, Edexcel and WJEC. The Corbettmaths Practice Questions on Fractional and Negative Indices for Level 2 Further Maths. Example 1: Determine if $$5^4\times 5^3$$ has a positive, negative or zero index. 2. For instance, in $$10^{\frac{7}{9}}$$, $$9^{\text{th}}$$ the root of $$10$$ is multiplied $$7$$ times. $$8^{\frac{1}{4}\times6}=8^{\frac{3}{2}}$$. Further Maths; Practice Papers; Conundrums; Class Quizzes; Blog; About; Revision Cards; Books; March 24, 2013 August 20, 2019 corbettmaths. 50. corbett maths negative indicesspinning top toy 70s. (am)n = amn ( a m) n = a m n. Step-by-step guide: Brackets with indices. Objectives: (a) Understand laws for multiplying power expressions, raising a power to a power and dealing with 0 or negative exponents. GCSE (1 - 9) Fractional and Negative Indices Name: _____ Instructions Use black ink or ball-point pen. @nH|?h>seXZ^o Pj3(T)%O U t0EgQ)..]'TwUDJnBDctD(Mz}4T )j2drg@?qJ.NAM/MCbBhiuT~ZKx#3sF#M''#O,7r;^ Okl|Bz j! 5-a-day Further Maths; 5-a-day GCSE A*-G; 5-a-day Core 1; More. 3. Counting to 100. Forever. Example 1: Express $$\left(\sqrt[4]{8}\right )^6$$ in the form of $$a^\frac{m}{n}$$. % 2. These cookies will be stored in your browser only with your consent. A Level Revision A Level (Modular) Revision. There are several laws of indices (sometimes called indices rules), including multiplying, dividing, power of 0, brackets, negative and fractional powers. Categorisation: Identify a missing power when negative indices are involved. &=\frac{1}{16 b^{4}} \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? Indices show how many times a number or letter has been multiplied by itself . Indices Worksheets Example 1 Indices refers to the power symbol we write just above numbers or terms. << /Length 5 0 R /Filter /FlateDecode >> K437:Raise a Fraction to a Negative Power. The profit from every pack is reinvested into making free content on MME, which benefits millions of learners across the country. a. For instance, $$a^{-2}$$, $$b^{-5}$$. - Multiply and divide numbers in standard form. A sound understanding of Indices is essential to ensure exam success. `. Brackets with indices. The worksheets are designed in landscape so they can be conveniently displayed on screen, as well as printed. Corbettmaths Videos, worksheets, 5-a-day and much more. (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. endobj stream 4 4 4 = 64 4 4 4 = 64. Thank you, Jo! Negative indices Video Videos; indices; negative; Post navigation. (c) Deal with problems involving a mixture of bases. This is the students version of the page. Write the following fractions in index form: (c) Deal with problems involving a mixture of bases. It's good to establish the laws of indices quickly when learning Indices. Edexcel Exam Papers OCR Exam Papers AQA Exam Papers. 3. Objectives: (a) Understand laws for multiplying power expressions, raising a power to a power and dealing with 0 or negative exponents. An index number is a number which is raised to a power. Other lessons in this series include: To make the negative index positive we put the term over 1 and flip it. (Level 5) 255 53 [2 marks] Answer Turn over for docx, 11.59 KB. Q6 explictly asks for a surd form. true /ColorSpace 22 0 R /Intent /Perceptual /SMask 23 0 R /BitsPerComponent come with answers. Find the HCF and LCM of two numbers Corbett: Product of Primes LCM and HCF Collins: p10 Use powers and roots in calculations. Find the probability of getting 6 or more girls in 8 births. DvGg;}eZVOODr O{y uX+g|Mf4F8BYQDQ:NQdqZ;|iu\Gcdq@=T5P[-I9r&J&qZHX;(qs0!\ l !S ;=[iqT5,2 &=RH82!H{R@eXRtm1g(T-Nao_3 4/5`C9Ve5]s_!$_vUu(+iwHv?2O "cH4WEeqlTKvdz.>y~py+x_EU5Op37bpk@]tk,ISN1k(.5DI 1 p{aw 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 . The plural word for index is indices. 2. VuuPGf(x7f E!#yzq5! =(ap4W(JnwWH 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. Recap of Fractional and Negative Indices with 2 sets of differentiated "Super 9" practice questions. When you visit or interact with our sites, services or tools, we or our The plural of index is indices. 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. 3. in accordance with our Cookie Policy. Difficult Exercises: Fractional and Negative Indices, Increasingly Inequalities: (one sign) Practice Questions Answers Textbook Answers 179. Laws of Indices - Part 1 (Higher & Foundation) | GCSE Maths Tutor The GCSE Maths Tutor 158K subscribers Join Subscribe 1.8K Share Save 106K views 3 years ago Number A video revising the. This is why when dealing with fractions it is easier to skip to step 2 and just flip the fraction: 1. When dealing with fractions it is easier to skip to step 2. Amazing calculator though most useful maths tool. Next Perpendicular from a line to a point Video . Corbett Maths Fractional Indices (Up to 2:41), K689:Raise a Number to a Fractional Power. Express your answer in index form. Negative Indices - Corbettmaths, Maths, Sign Up to Download. 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 In Q9 they need to write examples in index form. Number F Standard Form v4 Number F Standard Form v4 SOLUTIONS. 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. Probability and statistics refresher. Previous Negative Numbers Answers. Each r Use Pie Corbetts non-fiction texts to inspire your KS2 pupils to get writing. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. Hundreds of randomly generated questions and answers. Find out more about our GCSE maths revision programme. The sweets are all red, yellow or green in the ratio of 4 : 2 : 3. The temperature in Watford is 9C colder than Redtown Towns Temperature Leek -8C 3. Step 1: Recall the formula a^ {m}\times a^ {n}=a^ {m+n} am an = am+n. 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. Answer all questions. E.g. Follow Peter on Twitter at @MrMattock. A selection of some of my The index only applies to the variable b and not the coefficient 3. All lessons I create I use myself as well as share to my own department. {$@$@$frTT1pMB)"*|HH@ +Eqc-Zd(I#Fg" ?$saJ(c/+LQ#x0{D$@I &iZ>7nd%,Yr3g MHH`a)Yhm6LVr7jG g_Woz*?I.A.3 These are the temperatures in towns cities on the same day. \begin{aligned} Course Support. Tools. 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. Solutions. There are a number of important rules of index numbers: Lessons. The fractional indices laws apply when the power is a fraction. Welcome; Videos and Worksheets; Primary; 5-a-day. Instructions Use black ink or ball-point pen. The power, also known as the index, tells you how many times you have to multiply the number by itself. Visit the my tarsia page for lots of different ideas 110. We also use third-party cookies that help us analyze and understand how you use this website. A Level Papers . 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. There are other names for an index, including power and also logarithm. The farmer must pay 1p tax for each m 2 of land he owns. . \end{aligned}\], \[\left(\frac{4}{3}\right)^{-2}=\left(\frac{3}{4}\right)^{2}\], \[\begin{aligned} It really is one of the very best websites around. 12 0 obj 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. \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. Negative indices is part of our series of lessons to support revision on laws of indices. lesson, MAP: Equations with Indices. 2y=1/8. 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}}. << /Im1 12 0 R /Im5 20 0 R /Im4 18 0 R /Im2 14 0 R /Im3 16 0 R >> >> out each and every one with my students. I have been a Tarsia fan for Page 4. GCSE Papers . 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. Factors Video 22 Questions Answers. Ive tweeted this before, but in case anyone is teaching index laws and wants to borrow it my Year 8s did this old textbook exercise in their lesson on the power law today. Since the power is positive, it is a positive index. Increasingly Difficult Exercises: Negative Indices. View all products. File Size: 257 kb. &=\frac{1}{2b\times2b\times2b\times2b}\\ Step 1: Recall the formula $$a^{m}\times a^{n}=a^{m+n}$$. Step 1: Simplify $$\left(3x^2y^2\right)^2$$, $$\left(3x^2y^2\right)^2=3\times3\times x^4y^4$$, $$\left(4xy\right)^3=4\times4\times4\times x^3y^3$$, Step 3: Use the rules of indices to simplify them further, $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$, $$\frac{3\times3\times{x^4y^4}\times{4\times4\times4\times}x^3y^3}{24x^4y^7}$$. You also have the option to opt-out of these cookies. 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. corbett maths negative indices 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). Whether you want a homework, some cover work, or a lovely bit of Further Maths 1; Further Maths 2; Extension Questions; A Level Practice Papers 2019 Specs; Tuition; Select Page. Negative and Fractional indices | Teaching Resources Negative and Fractional indices Subject: Mathematics Age range: 14-16 Resource type: Unit of work 8 reviews File previews pptx, 1.48 MB Series of slides, questions/examples/starters I have used recently on negative/fractional indices. "s?RnXu]&MJ T68d*;rluQPMqu|=\_xr;t\A@BlhqJh`yQL/dPjTqH^7x1}$tn9t|VFE RX$i9>f]P:Sx*a{'`C&*?Z Answer the questions in the spaces provided there may be more space than you need. This section covers Indices and the uses of Indices in algebra. We found that Corbettmaths.com is moderately 'socialized' in respect to Twitter mentions (37.5K), Facebook shares (676) and Google+ shares (4). 3 (no answers), tricky indices - jigsaw 3 tricky indices - jigsaw Solving equations answers corbettmaths - The opposite sides of a rectangle are the same length, so 5x+3 = 3x+9. Math Index. Section B: Higher GCSE and easier A-level. *B-MahY( DdDTE4o 5 M:Y? A farm has an area of 12 km 2. The power, also known as the index, tells you how many times you have to multiply the number by itself. So, $$2$$ is the base and $$4$$ is the index. docx, 11.62 KB. No calculator allowed! Increasingly Difficult Exercises: Fractional Indices. Dividing indices. Since the power is positive, it is a positive index. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. 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. Menu Skip to content. 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. Fractional negative indices Author: John Corbett Created Date: 5/7/2014 9:25:53 PM . 4 x 24 in distributive property - Write 4x24 as distributive property 44 people found it helpful 4 x 24 = 4 x 20 = 40 4 x 4 = 16 40 + 16 = 56 4 x 24 = 56 Need for any value of a or b. And best of all they all (well, most!) Mistry Maths: Powers multiplying and dividing Lower = 47.5 Upper = 48.5 Edges, Faces, Vertices Video 20 Questions Answers. Difficult Exercises: Indices, Increasingly Show Step-by-step Solutions. K693: Raise an Algebraic Term to a Fractional Power. Notice how the index only affects the variable b. &=\frac{9}{16} Algebra: substitution. Click here for Answers. Log in above for the teachers version. GCSE: (b) Deal with fractional exponents. Students need to use their powers of reasoning to explain why theyre seeing the results they are. You may also be asked to simplify expressions where the numerator is not \bf{1}. \end{aligned}, \left(\frac{5}{8}\right)^{-1}=\frac{8}{5}, \left(\frac{8}{125}\right)^{-\frac{2}{3}}, We use essential and non-essential cookies to improve the experience on our website. This section covers Indices revision. Read advice from maths teacher Jo Morgan about helping secondary students understand indices. 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 These practice papers are in the same format and style as the real exams, and come in A4 booklets. You'll also receive regular updates from Teachwire with free lesson plans, great new teaching ideas, offers and more. Possible Next Steps: Simplifying Basic Expressions, Differentiation, Properties of Numbers, Standard Form. 3-4 = c. 2-3 = d. 10-2 = e. 4-3 = f. 3-3 = g. 11-2 = h. 2-8 = i. We then begin to mix negative and fractional indices across Q5-6. The following diagrams show fractional indices and how to evaluate them. 5. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. An index, or power, is the small floating number that appears after a number or letter. &=\frac{3^{2}}{4^{2}} \\\\ To help us show you teaching resources, downloads and more youll love, complete your profile below. Dont worry weve also included an answer sheet in the download. An index number is a number which is raised to a power. Laws of Indices. Corbett maths trigonometry worksheet. I have big plans for Blacksmith Maths. Indices show how many times a It really is one of the very best websites around.