Through this Powerpoint presentation, students will get a thorough conception on Indices.
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35 ]INDÜCES 58 LEARNING INTENTIONS To understand the index laws To be able to express fractions in index form To be able to use index laws with algebra
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Introduction What does 42 actually mean? 4x4 16
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Introduction What does 45 actually mean? 4x4x4x4x4
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Introduction How can we write 5x5x5x5 54 This is 5x5x5x5 written in INDEX FORM
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Writing in Index Form Write the following in Index Form — 84 8x8x8x8 = 36 3x3x3x3x3x3 = 93 9x9x9
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lndices 3х3х3х3 3х3х3 3х3
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Multiplying Indices Simplify the following leaving in index form. 83 x 84 = 8x8x8 8x8x8x8 x = 87 Is there a quick way you can work this out? 83 x 84 = 87 Remember this only works for numbers with the Same base number
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Multiplying Indices Simplify the following leaving in index form. 52x54 52 x 54 = 5x5 5x5x5x5 x = 56 The Quick way!!! : 56 Remember this only works for numbers with the Same base number
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Dividing Indices Simplify the following leaving in index form. 25-22= x x 22 23 The Quick way!!! 25 - 22 -2 23 Remember this only works for numbers with the Same base number
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Indices Simplify the following leaving in index form. 2 3 (2 This means this 23x 23 26 For these it is best to write them out! Remember this only works for numbers with the Same base number
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Indices Simplify the following leaving in index form. 5 = 315 3 5 (3 This means this 35x 35x 3 For these it is best to write them out! Remember this only works for numbers with the Same base number
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Questions Simplify the following numbers, index form: leaving your answers in 23 x 22 25 23 + 22 2 (b) (b) 35 X 32 37 35 + 32 33 (c) (c) 73 x 7 74 73 + 7 72 (d) (d) 95 x 92 97 95 92 93
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Indices with Letters axaxaxa ax ax a
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form. a Multiplying Indices Simplify the following leaving in index -a -a 4 a -ax ax a 7 ax ax ax a Is there a quick way you can work this out? 7 Remember this only works for numbers with the Same base number
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Indices with Letters 6a3 x 3a2 6a3 x 3a2 : 6 x ax a a 18a5 3 x ax a x x a xaxaxaxa The Quick way!!! x = 18a5
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lndices with Letters За5 Х х ахах ахах ах 2 хаха ахах ахах ахах а ба8
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Questions Simplify the following numbers, leaving your answers in index form: 1. (a) a3 xa2 2. (a) (23)2 26 3. (a) 3b3 x 7b5 21b8 (b) a5 x a6 (b) (35)2 310 (b) 5b x 2b7 1 Ob8 (c) (73)3 79 (c) 2b3 x 6b3 12b6 (d) a2 x a12 14 (d) (92)5 910 (d) 2b3 x 15b2 30b5
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