Laws Of Indices Pdf In this section of text you will learn about powers and rules for manipulating them through a number of worked examples In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature use negative and fractional indices 3 4 5 The fourth rule a0 1 6
Laws of Indices Video 174 on Corbettmaths Question 1 Write as a single power of 2 a 2 178 x 2 178 b 2 178 x 2 179 c 2 x 2 178 d 2 x 2 179 e 2 x 2 f 2 178 x 2 g 2 x 2 h 2 x 2 i 2 x 2 178 j 2 x 2 k 2 x 2 l 2 178 x 2 178 x 2 178 x 2 178 Question 2 Write as a single power of 5 Index form where a 0 Laws of indices To do calculations with indices we follow certain rules These rules are called the laws of indices Multiplication of numbers in index form Examples 1 Use your calculator to evaluate 3 2 215 3 5 Now do the same for 3 7 What do you notice 2 Use your calculator to evaluate 7 5 215 7 6 Now do the same
Laws Of Indices Pdf
Laws Of Indices Pdf
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Indices Name Instructions Use black ink or ball point pen Answer all Questions Answer the Questions in the spaces provided there may be more space than you need Diagrams are NOT accurately drawn unless otherwise indicated You must show all your working out Information Laws of indices when multiplying add the indices when dividing subtract the indices when raised to a power multiply the indices Zero index any number or letter to the power of zero is one Negative indices 1 over N B With fractions ip the fraction and change the sign of the index E g 1 Without a calculator nd the value of
To manipulate expressions involving indices we use rules known as the laws of indices The laws should be used precisely as they are stated do not be tempted to make up variations of your own The three most important laws are given here When expressions with the same base are multiplied the indices are added Index laws are the rules for simplifying expressions involving powers of the same base number a m 215 a n a n First Index Law a m n a mn Second Index Law
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quot Full Coverage quot Laws of Indices This worksheet is designed to cover one question of each type seen in past papers for each GCSE Higher Tier topic This worksheet was automatically generated by the DrFrostMaths Homework Platform students can practice this set of questions interactively by going to B Index Notation If n is a positive integer then an means that a is multiplied by itself n times i e an a 215 a 215 a 215 aa where a is called the base and n is called the index or exponent C Zero and Negative Integral Indices If
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Law Of Indices Worksheet PDF
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