corbett maths negative indices

Negative Indices - Corbettmaths, Maths, Sign Up to Download. Whenever we multiply expressions together with the same index this operation is equivalent to adding the numbers in the index together. Indices Rule 10: Negative Powers. 4. Solutions. Give your answer in its simplest form. 4. This video shows a guide to indices and powers. Step 1: Recall the laws of indices that has to be used, Step 2: Simplify the numerator of the expression, Step 3: Simplify the denominator of the expression, Thus, $$\frac{h^{-3}\times h^{6}}{h^5\times h^{-3}}=h$$. Fire up KS2 pupils' imagination with this collection of 16 fictional stories, written by literacy expert Pie Corbett. {$@$@$frTT1pMB)"*|HH@ +Eqc-Zd(I#Fg" ?$saJ(c/+LQ#x0{D$@I &iZ>7nd%,Yr3g MHH`a)Yhm6LVr7jG g_Woz*?I.A.3 Multiply and divide using index laws. Homework Support Solutions. 1520 When you visit or interact with our sites, services or tools, we or our A worksheet on Negative Numbers. For instance, $$5^0$$, $$x^0$$. Get a closer look with this tutorial! xYMs7W(I'&4(N8>vW*r=RK@_/QwZN[yFDooFA(2FN6xbu3am xCu+C6?d;:ZQ]Kb+:CGdw* ]c|2d0~`D@)ic2)cdB pLnc*2Nfh Increasingly Difficult Exercises: Negative Indices. 24\times4 = 96 24 4 = 96. The following resources are ideal for your GCSE Maths Revision. Brackets with indices. Increasingly Difficult Exercises: Indices. Negative powers can be explained by extending the division law (ie what happens when we divide b 2 by b 7 ? In Q9 they need to write examples in index form. E.g. Fractional and Negative Indices Name: _____ Instructions Use black ink or ball-point pen. Indices Name: _____ Instructions Use black ink or ball-point pen. Express your answer in index form. 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. Negative indices: If the index of any number is negative, then it is termed as negative index. When we cancel the common factors of x. I have tried out each and every one with my students. Ready-to-use mathematics resources for Key Stage 3, Key Stage 4 and GCSE maths classes. \left(2^3\right)^{-4}=2^{3\times(-4)}=2^{-12}, So the whole expression can be written as. Dr J Frost (jfrost@tiffin.kingston.sch.uk)@DrFrostMaths . Difficult Exercises: Solving Equations with Indices, Alutwyche: Simplifying Indices 2 - Fractional and 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. This category only includes cookies that ensures basic functionalities and security features of the website. Evans Business Centre, Hartwith Way, Harrogate HG3 2XA. Indices Worksheets Example 2. Given we know that \sqrt4=2 , this becomes. Work out the 8th term of the sequence. (Non calculator). Description of Levels. Thus, we have written the expression as a power of 3. Worksheet Answers. This section covers Indices and the uses of Indices in algebra. We also use third-party cookies that help us analyze and understand how you use this website. &=\frac{3^{2}}{4^{2}} \\\\ Welcome; Videos and Worksheets; Primary; 5-a-day. Indices can also be called powers or exponents. Covers laws of indices (including fractional and negative indices), solving equations involving indices (IGCSE FM syllabus) and raising a single term to a power. 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. Identify whether the base numbers for each term are the same. 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, $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$, $$\frac{3\times3\times{x^4y^4}\times{4\times4\times4\times}x^3y^3}{24x^4y^7}$$. ]_f%C$@$@!B`EWMLJF}+4V_|XD5jX7H$@$@@ #^J7mD_ #HH$@$@AI ;6lCAU)SIHeZzY;iPL&8/GF3$@$@!N k)l7+/us1@2L> .gbl?t7,K63IK||? September 2, 2019 corbettmaths. There are other names for an index, including power and also logarithm. 3. Basics, Indices Rules - Learn GCSE Maths Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Edexcel IGCSE Maths GCSE Statistics. Using the multiplicative law of indices . These GCSE Maths revision cards are relevant for all major exam boards including AQA, OCR, Edexcel and WJEC. )6#IF=3JouECnWXFQ)YE-,^_Qf7E9nGovAHKVA*@p(, pccQd22i-6B&L1+eFf&c@&1V:&4UOv0~ah8y1k]#]rg K694:Raise an Algebraic Term to a Fractional and Negative Power. Page 5. Corbett maths trigonometry worksheet. K690:Raise a Number to a Fractional and Negative Power. Math Index. Last modified: 9th July 2021. In general, the result of a negative power is \bf{1} over that number to the positive power, i.e. Course Support. Raising a term to the power of means we find the cube root of it. The plural of index is indices. Sorting out your medium term planning for KS1 science and KS2 science? Simplify 3 2 3 3. Example 1: Negative Powers Simplify the following, 4^ {-3} 43. Fractions: Adding (same denominators) Video 23 Questions Answers. 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. K691:Raise a Fraction to a Fractional Power. pptx, 1.48 MB. Negative powers flip the fraction and put 1 over the number. Level 1 - Evaluating positive indices without a calculator. Fractional and negative indices - Help for AQA Maths Mod 3 Higher Show Step-by-step Solutions. 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. Includes reasoning and applied questions. Try the free Mathway calculator and problem solver below to practice various math topics. Thus, the simplified value of $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$ is $$24x^3$$. The temperature in Watford is 9C colder than Redtown Towns Temperature Leek -8C 3. A selection of some of my (am)n = amn ( a m) n = a m n. Step-by-step guide: Brackets with indices. Negative Indices Textbook Answers - Corbettmaths. 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. View All Tables. Multiplying and dividing indices, raising indices to a power and using standard form are explained. E.g. 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. Probability and statistics refresher. For instance, $$5^\frac{1}{2}$$, $$7^\frac{1}{4}$$, $$6^\frac{2}{5}$$. These cookies do not store any personal information. Negative indices Video Videos; indices; negative; Post navigation. However they don't have a fix symbol for it. The profit from every pack is reinvested into making free content on MME, which benefits millions of learners across the country. (You can unsubscribe at any time.). A worksheet for practising the use of negative indices. The fractional indices laws apply when the power is a fraction. Good level of challenge + lots of misconceptions drawn out. Get your free negative indices worksheet of 20+ questions and answers. K437: Raise a Fraction to a Negative Power. Check out our other pages to find out how. Dividing by 10, 100, 1000 Video 18 Questions Answers. GCSE Maths Predicted Papers are perfect for preparing for your GCSE Maths exams. Categorisation: Raise a number to a negative an fractional power. Rich Tasks . Not registered with Teachwire? Topic ; Indices: Negative: Solutions: Mean: Solutions: Median: Solutions: Metric Units: Lengths: Solutions: Metric Units: Mass & Capacity: Solutions: Metric & Imperial Units: km and miles: Scroll down the page for more examples and solutions on fractional and negative indices. So, we get that 4^ {-3}=\frac {1} {64} 43 = 641. We are here to help you with all of your homework needs! Simplify the following, 9^{\frac{3}{2}}. These sessions are free to all University of Sheffield students. 18.5 Calculating with Standard Form. in accordance with our Cookie Policy. x2 x 2. Question 2: Work out \sqrt{9}\times 6^{-2}, Write your answer in its simplest form (Non-calculator), Firstly, as 3^2=9, the inverse operation gives, \sqrt{9}=3. Negative indices is part of our series of lessons to support revision on laws of indices. Rounding Pixel Puzzle 1 and Puzzle 2 - MissBrookesMaths ( corrections here) Rounding slides and Rounding to 2dp Question Trade - Teachit Maths. 6. Since the power is negative, it is a negative index. Simplify. 110. 110. Solutions. The base number is 3 and is the same in each term. Advanced. September 11, 2016 corbettmaths. Q6 explictly asks for a surd form. xXn6}WL@#}khq@Q}p;qu$vNj&%/\I-lw~'VvEi~"&)^@6> M@7R+/O+U-SSRZA^*A]S $^b0m1:BKCM(&+t7. Good luck! GCSE Higher. Deff recommend this app. Simple rounding worksheets including number lines - Math Salamanders. \textcolor{red}{a}^{\large{\frac{\textcolor{blue}{b}}{\textcolor{limegreen}{c}}}} = \sqrt[\textcolor{limegreen}{c}]{\textcolor{red}{a}^\textcolor{blue}{b}}. Step 1: Recall the formula a^ {m}\times a^ {n}=a^ {m+n} am an = am+n. . So, $$2$$ is the base and $$4$$ is the index. Check your answers seem right. These are the temperatures in towns cities on the same day. Increasingly Difficult Exercises: Fractional Indices. The Corbettmaths Practice Questions on Negative Indices for Foundation GCSE Maths. When the number is a fraction, the negative power flips the fraction. 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. GCSE Maths Specification and Awarding Body Information Videos . Number of the Day. Understand negative and zero indices. Interactive tools and activites to aid the teaching of mathematics. 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. many years. K432:Laws of Indices for Multiplying Powers. Answer the questions in the spaces provided come with answers. 5 0 obj GCSE Papers . The Textbook Exercise on Negative Indices. We can however evaluate these calculations. Pythagoras' Theorem (Corbett Maths). The plural of index is indices. Most popular sequences Nth term of a linear sequence spider Changing the subject of a formula (6 exercises) Solving linear equations spider Upper and lower bounds with significant figures Applying the rules of indices to form and solve equations Advert Categories A Level Binomial expansion Complex numbers Differentiation Functions Integration On most occasions the positive root is the only one required. 4 0 obj A selection of some of my favourite, free maths activities to use in lessons. \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. Corbettmaths Videos, worksheets, 5-a-day and much more. The plural word for index is indices. Solving equations answers corbettmaths - The opposite sides of a rectangle are the same length, so 5x+3 = 3x+9. stream Menu Skip to content. Looking for homework help online? Level 4 - Multiplying, dividing and raising to another power. Revise for your GCSE maths exam using the most comprehensive maths revision cards available. 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 We also know that. Powers of quotients. 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. We then begin to mix negative and fractional indices across Q5-6. Rounding spiders - alutwyche on TES. 10. 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? % In Q8 pupils need to write examples as fractions using only positive rational powers. Indices and powers. Here is part of a number line 2. Level 2 Certificate in Further Mathematics. 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 corbett maths negative indices. Negative Fractional Indices - Go Teach Maths: Handcrafted Resources for Maths Teachers From your 'My Account' page, you can give feedback, change I have tried out each and every one with my students. ?\rfg6/0dBpo]p2W/Y,gvA( Fractional negative indices Author: John Corbett Created Date: 5/7/2014 9:25:53 PM . Learn more today with the MME GCSE Maths flashcards. Negative Indices Practice Questions Corbettmaths. Factors Video 22 Questions Answers. for using this wonderful free resource, and to get hold of the However, if we recognise that 9=3^2, then we can write the first term as, Applying the multiplication law, this simplifies to. 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). GCSE Revision. This section covers Indices and the uses of Indices in algebra. Difficult Exercises: Fractional and Negative Indices, Increasingly An index is a small number that tells us how many times a term has been multiplied by itself. Peter Mattock is an assistant headteacher and secondary mastery lead for the East Midlands South Maths Hub. Worksheets with answers . Follow Peter on Twitter at @MrMattock. endobj Example 3: Simplify $$\frac{\left(3x^2y^2\right)^2\times\left(4xy\right)^3}{24x^4y^7}$$. Corbett: Estimation Collins:p95 Write a number of the product of its prime factors. `. Websites in the World, My The negative index number means we need to find the reciprocal, which means inverting the fraction, so. Negative Indices Textbook Exercise - Corbettmaths September 26, 2019 corbettmaths Negative Indices Textbook Exercise Click here for Questions . ; 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. >> GCSE Papers . 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 terms are being multiplied. View all students answers, scores and comments and hold them accountable for their effort. 4 4 4 = 64 4 4 4 = 64. For example, 2 5 means that you have to multiply 2 by itself five times = 22222 = 32. All lessons I create I use myself as well as share to my own department. Math Index. Menu Skip to content. Negative Indices x ^-n = 1/x^n x^0 = 1 Limits of accuracy The height of a lighthouse is 48m to the nearest metre. Anything with a * next to it represents content that is brand new to GCSE Maths for the 2017 exams. 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. Area and Circumference of Circles. A farm has an area of 12 km 2. Some topics have additional worksheets which contain Challenge and Problem Solving questions. So clearly, a -1 = In same way, a -2 = = a -3 = = docx, 21.67 KB. Just answer questions and you will get an A - A* - guaranteed. true /ColorSpace 22 0 R /Intent /Perceptual /SMask 23 0 R /BitsPerComponent Applying Properties of Exponents, fractional and negative indices - jigsaw 1, fractional and negative indices - jigsaw 2, tricky indices - jigsaw 3 tricky indices - jigsaw 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. Hes the author of Visible Maths and Conceptual Maths (Crown House Publishing). Example 3: Evaluate $$4^{\left (\frac{3}{2} \right )^\frac{2}{3}}$$. When dealing with fractions it is easier to skip to step 2. Fraction and Ratio Shading. This Writing equations of parallel and perpendicular lines answers provides step-by-step instructions for solving all math problems. 2b1 2 2 b 1 2. 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. &=\frac{1}{2b\times2b\times2b\times2b}\\ Powers and Roots. a 2 a 3 = a 2 - 3 = a -1: but we know that. extra practise, this is the place for you. GCSE :: Laws of Indices. Averages and Range. A lesson I have prepared on Fractional and Negative Indices. This page will give you the 7 easy rules to remember; there are. Express your answer in index form. Exclusive to MME! After studying this section, you will be able to: divide and multiply algebraic expressions using indices. New Further Maths. 10 10 indices rules. Level 2 - Evaluating positive indices with a calculator. Section C: Key topics from A-level maths. An index is used to show how many times a number is multiplied by itself. A Level Revision. 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. You might just want some questions for a bit of practice. 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. 2. 2. Corbettmaths Primary Primary 5-a-day, videos, worksheets and more. Corbett Maths Equations with Indices (From 6:19), Maths By Fives Exponential Equations Examples. NPm0!"9:!@Q:A=w+rBfj J23~l"A=x[bn/e#88Y^-UG7^7!j,xH K/[{_r;^^Tb2l `wNA&:@ ":h _ Posted By : / kingston accident today / Under : . 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. They GCSE Revision. There are a number of important rules of index numbers: y a y b = y a+b; Examples. These papers are in the same style and format as real exams. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Inequality Practice Questions Answers Textbook Answers 177. Division (long) Video 19a. &=\frac{1}{16 b^{4}} I have also included a BINGO activity to recap basic laws of indices before moving onto the more difficult content. Example 1: Determine if $$5^4\times 5^3$$ has a positive, negative or zero index. 2y=1/8. K149:Multiply Algebraic Terms With Powers. 2 Flip and change the power from -4 to +4. Corbett Maths offers outstanding, original From our work in the last section, we see that. Passing N5 Maths significantly increases your career opportunities by helping you gain a place on a college course, apprenticeship or even landing a job. endobj If you want a complete lesson, a Tarsia jigsaw, or a fun and Thank you, Jo! (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. Two roots could be written. K434:Laws of Indices for Raising a Power to a Power. Caluculate a power raised to a power Corbett: Laws of Indices Collins: p50 Use Negative Indices. Practice Questions. &=\frac{9}{16} The power, also known as the index, tells you how many times you have to multiply the number by itself. Name: Level 2 Further Maths Ensure you have: Pencil or pen Guidance 1. Laws of indices as applied to products. Page 6. DrFrostMaths.com GCSE Laws of Indices KS3/4 :: Number :: Powers, Roots & 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. 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). \end{aligned}\], \[\left(\frac{4}{3}\right)^{-2}=\left(\frac{3}{4}\right)^{2}\], \[\begin{aligned} Past Paper Questions by Topic. Find the HCF and LCM of two numbers Corbett: Product of Primes LCM and HCF Collins: p10 Use powers and roots in calculations. Maths : Indices - Introduction. . Section A: GSCE-level maths. right!? 3 3 further more complex rules which can be found in the laws of indices page. (Up to 0:34), Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost (Ignore Numerator not 1), Corbett Maths Fractional Indices (From 2:41). 4 is the base and 3 is the index. Indices Worksheets Example 2 It's good to establish the laws of indices quickly when learning Indices. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. Corbettmaths - This video explains how to calculate negative indices. 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. lesson, MAP: Corbettmaths Negative Indices Worksheet (Q1-8) & Solutions Dr Frost resources Dr Frost Video K436: Raise a Number to a Negative Power. Answer the Questions in the spaces provided there may be more space than you need. So, we know that 9^{\frac{3}{2}} is equal to \sqrt[2]{9^3} or (\sqrt[2]{9})^3. When there is a power outside the bracket multiply the powers. . As it is a negative power we can rewrite this as, 8^{-\frac{5}{3}}=\frac{1}{8^{\frac{5}{3}}}. Subtracting a negative is the same as adding a positive. Visit the my tarsia page for lots of different ideas 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. Questions. 4 0 obj a means "a" squared which means "a" multiplied by "a". Zero indices: If the index of any number is zero, then it is termed a zero index. K440: Raise an Algebraic Term to a Negative Power. The plural of index is indices. Information come with answers. There are daily questions found at www.corbettmathsprimary.com/5-a-day/ 1. Raising a term to the power of 3 means we cube it. This section covers Indices revision. Dividing indices. docx, 11.62 KB. A level Maths (All Topics (brief)) Flashcards on Corbettmaths Flashcards, created by Holly Martin on 24/04/2018. 4 3 Simplify the following expression (Level 5) 5254 53 [2 marks] Answer 4 Simplify the following expression. 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. \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 essentially give you the reciprocal of the expression. You can use math to determine all sorts of things, like how much money you'll need to save for a rainy day. (a) Know laws of indices for multiplying, dividing, raising a power to a power. Raising a term to the power of 2 means we square it. Necessary cookies are absolutely essential for the website to function properly. Using the powers law of indices . GCSE Maths Takeaway. You must show all your working out. Focus your time on the mistakes and misconceptions of your students and give them the feedback to improve. % Step 3: Simplify to get the simplest form of the fractional index. $$\left (8^\frac{1}{4} \right )^{6}=8^{\frac{1}{4}\times6}$$. There are several laws of indices (sometimes called indices rules), including multiplying, dividing, power of 0, brackets, negative and fractional powers. Dr J Frost (jfrost@tiffin.kingston.sch.uk)@DrFrostMaths . The profit from every pack is reinvested into making free content on MME. E.g. Everything you need to get an A+ in IGCSE, GCSE and O-Level Maths. Example 2: Determine if $$7^2\times 7^{-6}$$ has a positive, negative or zero index. 1. Using the division law of indices . \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. 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. &=3 \times \frac{b^{-2}}{1} Negative exponents will often be used in conjunction with other index laws, including the division, brackets and multiplication laws. endstream Express your answer in index form. Using all 3 laws of indices . MASH also provides additional 1-1 support with any maths or stats related to your course. a 2 a 3 = = , a fraction. Indices - Videos 172, 174. 2023 Third Space Learning. 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. Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance Links to the Best Maths Websites in the World, AQA Level 2 Certificate in Further Mathematics, Indices Rules -

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