Laws of indices this worksheet has questions about the laws of indices. Maths made easy complete tuition ltd 2017 rules of indices powers 1. Literacy laws of indices memory laws of indices retention. Decode each puzzle to work out the punchline to a joke. Covers laws of indices including fractional and negative indices, solving. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the law of indices, but we cannot use the law of indices to manipulate the expressions 3 5 and 5 7 as their base differs their bases are 3 and 5, respectively. These laws only apply to expressions with the same base, for example, 3 4 and 3 2 can be manipulated using the law of indices, but we cannot use the law of indices to manipulate the expressions 4 5 and 9 7 as their base differs their bases are 4 and 9, respectively. So positive integers and, and rational numbers and, we have. We use the laws of indices to simplify expressions involving indices.
A detailed practice sheet for indices only the first 4 laws. Indices usually appear in mathematics as a numerical superscript after a number or variable and are also known as powers or exponents. Pencil, pen, ruler, protractor, pair of compasses and eraser you may use tracing paper if needed guidance 1. In this section of text you will learn about powers and rules for manipulating them through a number of worked examples. Laws of indices this guide describes how to work with and manipulate the laws of indices in mathematics. Page 4 of 7 active records in the nics indices as of december 31, 2019 others ony on e n e h p e on or s american indian or alaska native tribe 33 0 0 0 12 0 0 0 4 172 37 258. To manipulate math expressions, we can consider using the law of indices. Example questions given with full solutions and an opportunity to practise your skills.
These laws are very important when multiplying and diving powers as well as when using them in algebraic expressions. Indices or powers a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. Indices or powers mctyindicespowers20091 a knowledge of powers, or indices as they are often called, is essential for an understanding of most algebraic processes. In this leaflet 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.
I taught an introductory lesson on index laws recently i wrote these. Convert the following numbers from standard form to the normal decimal format. This guide describes how to work with and manipulate the laws of indices in mathematics. Watch this mini revision video on laws of indices and have a go at the practice questions. Index help to write a product of numbers very compactly. Quick reference information therefore, certain categories. Indices practice questions evaluate the following expressions without your calculator. The corbettmaths video tutorial on laws of indices algebra. Indices multiplication,division,powers,reciprocals,roots many worked examples of each type. One a4 page knowledge organiser including needtoknow facts, keywords, exam question, mathswatch clip numbers, worksheet links and curriculum flowchart. There are three rules that should be used when working with indices. Powers and indices made easy gcse maths revision video duration. Expand the following boxes for the laws of indices.
The laws of indices introduction a power, or an index, is used to write a product of numbers very compactly. Indices worksheet differentiated teaching resources. Laws of indices now that you are quite familiar with indices, you are ready to move on the the laws of indices. This worksheet has questions about the laws of indices. Read each question carefully before you begin answering it. Without a calculator, use the laws of indices to help you evaluate the following. Laws of indices retention of knowledge skill 1 laws of indices 1.