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Number Algebra and Graphs Algebraic Manipulation and Representation Introducing Algebraic language Simplifying Expanding Factorising Substitution Changing the Subject Combining and Simplifying Algebraic Fractions Algebraic Indices 3 Laws of Indices Zero Index Negative Indices Fractional Indices Exponential Functions Equations and Inequalities Linear Equations Constructing Equations Simultaneous Equations Inequalities Quadratic Equations Linear Programming Graphing Inequalities Linear Programming Sequences nth Term Rule Variation Direct Variation Inverse Variation Graphs in Practical Situations Conversion Graphs Difference Distance and Speed -Time graphs Distance-Time Graphs Speed-Time Graphs Acceleration and Deceleration Area under Speed-Time Graph Graphs of Functions Parabolas Graphical Solution of Quadratic Functions Reciprocal Functions Linear Functions Exponential Functions Gradient of a Curve Graphical Solution of Equations Graphing Inequalities Functions Evaluating Functions Inverse of Functions Composite Functions Geometry Mensuration Coordinate Geometry Trigonometry Vectors/Matrices/ Transformations Probability Statistics You find a selection of my pages down below where I explain all you need to know about Statistics to pass your maths exam.
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What are the three Laws of Indices
In this section you will learn step by step how to approach questions involving algebraic indices. You will also discover, after studying each video on this important GCSE IGCSE maths topic, that you will not have to memorise these laws. The videos and example questions are designed to allow you to truly understand the three laws of the indices so you can apply them with confidence. Each law is accompanied by a video full of example question. Before you start, have a look at the introduction video at the right which will refresh your knowledge on indices.
What is the Second Law of IndicesIf you have studied my videos explaining the first law of indices and have a firm understanding of it, you will not have too many problems with the second law of indices. The second law of indices will discuss what happens when you divide indices. What is y to the power 7 divided by y squared? These types of maths questions you encounter a lot on GCSE IGCSE past papers and therefore they are quite likely to appear on your next maths exam. Make sure to have looked at the first maths activity which will explain the second law of indices in detail to you before looking a the example maths questions of the second video. Enjoy!
What is the third Law of IndicesThe following videos will explain to you step by step how to apply the third law of indices. The third law of indices involves indices inside brackets. You will notice that it is closely related to the first law of indices. During your maths revision while solving question from past GCSE IGCSE maths exam papers, it is important to fully understand all three laws of indices. Make sure to study the first video first before trying to answer the maths example questions of the second video. After studying all the videos and you still don't understand the laws of indices, then send me a message on the forum or on Facebook or Twitter and I will help you with more maths example questions. Were these videos useful? Then please like and share them with your friends so they will also pass their maths exams. Thank you and good luck!
Free Worksheet about Algebraic IndicesTry to solve the questions on the free worksheet below during your maths revision and find out whether you understand the laws of indices. You can also download the sheet for free. The answers are on the second page but make sure to try to answer the questions yourself first!
Congratulations! You have studied well and answered many example questions. You now understand the laws of indices and are able to apply them on your IGCSE GCSE Maths exam. Continue with your maths revision and follow the links. I will explain what the zero index is. Ho much for instance is 5 to the power 0? And what is the value of x to the power 0? Find out!
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