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Samuel Ade - Algebraic Indices: 100 Fully solved problems that explained all you need to know to perfectly understand, improve and independently master Algebra and Indices problems.

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Workbook Solutions That can help you master Algebra and Indices...

100 fully solved problems that explained everything you need to know to independently master algebra and indices is a self teaching workbook that solely solve problems relating to Algebra and indices to help people master this aspect of mathematics without confusion.

This workbook contains solution to problems on the following aspect of algebraic indices;

  • Linear equations
  • Solving Quadratic expressions
  • Exponential equations
  • Simultaneous Equations.
  • Rational Equations
  • Simplification of simple and complex indices problem.

Save yourself the feelings of Mathematics is difficult. Grab your copy of this workbook solution now, as it solve problems ranging from simple to complex.

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ALGEBRAIC INDICES
100 Fully solved problems that explained all you need to know to perfectly understand, improve and independently master Algebra and Indices problems. Samuel Ade Copyright *2019 by Samuel Ade. All rights reserved. Printed in the United States of America. No part of this book may be used or reproduced in any manner whatsoever without written permission except in the case of brief quotations em- bodied in critical articles or reviews. The following rights goes to any teacher or parent who purchases one copy of this workbook;
  • For teachers: He/She reproduce any part for his/her student for teaching practice.
  • For parents: He/She reproduce any part of this workbook for his/her children for home practice.
For any information, correction or assistance you can send a mail to smart learning on TABLE OF CONTENTS
Chapter one An index number is a number which is raised to a power A simple - photo 1 Chapter one
An index number is a number which is raised to a power.

A simple way to understand this is shown below. " From the example above is referred to as base while the number is referred - photo 2 From the example above, Picture 3 is referred to as base, while the number is referred to as power, index, or exponent. Note: For a better understanding of some solutions to some problems, we have to consider the fundamental laws of indices, which will be analyzed below. The following laws will help your understanding to solve any question in indices. This may be referred to as the law of power addition of indices You can also - photo 4 This may be referred to as the law of power addition of indices. You can also have ; Algebraic Indices 100 Fully solved problems that explained all you need to know to perfectly understand improve and independently master Algebra and Indices problems - image 5 (irrespective of the numbers of indices entity you are multiplying above).

For example Given that; x = Algebraic Indices 100 Fully solved problems that explained all you need to know to perfectly understand improve and independently master Algebra and Indices problems - image 6 and y= Algebraic Indices 100 Fully solved problems that explained all you need to know to perfectly understand improve and independently master Algebra and Indices problems - image 7 , find x y Solution This can equal be - photo 8 y. Solution This can equal be But using the law of indices will make the solut - photo 9 This can equal be; But using the law of indices will make the solution easier and faster For rule - photo 10But using the law of indices will make the solution easier and faster For rule - photo 11But using the law of indices will make the solution easier and faster For rule - photo 12 But using the law of indices will make the solution easier and faster. For rule 1 to be valid, the bases of both entities must be the same. Algebraic Indices 100 Fully solved problems that explained all you need to know to perfectly understand improve and independently master Algebra and Indices problems - image 13 For example Given that; x = Algebraic Indices 100 Fully solved problems that explained all you need to know to perfectly understand improve and independently master Algebra and Indices problems - image 14 and y= Algebraic Indices 100 Fully solved problems that explained all you need to know to perfectly understand improve and independently master Algebra and Indices problems - image 15 , find x y Solution This can equally be For example - photo 16 y. Solution This can equally be For example This can equally be - photo 17 This can equally be; For example This can equally be - photo 18For example This can equally be This is the law of zero - photo 19 For example: This can equally be This is the law of zero index How do I arrive at - photo 20 This can equally be This is the law of zero index How do I arrive at this For example - photo 21This is the law of zero index How do I arrive at this For example - photo 22 This is the law of zero index. How do I arrive at this? For example; This is a law of Negative index We can still have an example to be Just - photo 23This is a law of Negative index We can still have an example to be Just - photo 24 This is a law of Negative index.

We can still have an example to be, Just note that any time you have a Base having a negative index it is - photo 25 Just note that any time you have a Base having a negative index, it is equivalent to the inverse of that base and index, excluding the negative sign. This is also known as the law of the fractional index Given an example of - photo 26 This is also known as the law of the fractional index. Given an example of, For example 125 Note the following cases - photo 27For example 125 Note the following cases - photo 28 For example: 125 Note the following cases For example - photo 29 = 125 Note the following cases For example - photo 30 = 125 Note the following cases:

  • For example 36 For example - photo 31
For example 36 For example - photo 32 = 36 For example The laws of indices given above - photo 33 = 36
  • For example The laws of indices given above are the basic study you - photo 34
For example The laws of indices given above are the basic study you have to go through to - photo 35
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