Click here to see more videos: https://alugha.com/FuseSchool In this video, we are going to look at what happens with negative indices and fractional indices. You should already know the other 4 ‘Laws of Indices’. But if you have forgotten, have a look at them first. For negative indices, we drop whatever numbers and/or letters have the negative indice (also known as power or exponent) down to the denominator and make the indice (power or exponent) positive. E.g. x^(-2) is the same as 1/x^2 where it was negative on the numerator and becomes positive as a denominator. Fractional indices: an indice of a 1/2 is the same as square root. An indice of 1/3 is the same as cube root. An indice of 1/4 is the same as 4 root. But what if the numerator isn’t one? An indice of 3/2 means square root the number and then cube it. An indice of 2/3 means to cube root and then square it. So the denominator is still the root of the number, and the numerator then raises the root to the power. Fractional law of indices = power / root. Power makes things bigger so is on top, and root makes things smaller so is on the bottom. I always do the root first and then the power second to keep the numbers small, but you can actually do them in either order. Although I really recommend rooting first and doing the power second. Some examples: 25^3/2 means to square root 25 and then cube the answer. 25^3/2 = 5^3 = 125. VISIT us at www.fuseschool.org, where all of our videos are carefully organized into topics and specific orders, and to see what else we have on offer. Comment, like, and share with other learners. You can both ask and answer questions, and teachers will get back to you. These videos can be used in a flipped classroom model or as a revision aid. Access a deeper Learning Experience in the FuseSchool platform and app: www.fuseschool.org This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: http://creativecommons.org/licenses/by-nc/4.0/ ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us: info@fuseschool.org
Learn about graphs. In this introductory video we will introduce coordinates, quadrants and the two axis: x-axis and y-axis. Click here to see more videos: https://alugha.com/FuseSchool VISIT us at www.fuseschool.org, where all of our videos are carefully organised into topics and specific orders
Let’s discover some more circle theorems so that we can solve all types of geometrical puzzles. We discovered these 4 theorems in part 1: Angle at the centre is double the angle at the circumference The angle in a semi-circle is 90 degrees Angles in the same segment are equal / Angles subtended by
Click here to see more videos: https://alugha.com/FuseSchool If we don't have the vertical height of a triangle, then we can find the area of the triangle using 1/2absinC. In this video we are going to discover where this formula comes from. The formula is based on area = 1/2 base X height and a
