Laws Of Indices Part 2: Negatives & Fractions | Algebra | Maths | FuseSchool

Click here to see more videos: 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, 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: This Open Educational Resource is free of charge, under a Creative Commons License: Attribution-NonCommercial CC BY-NC ( View License Deed: ). You are allowed to download the video for nonprofit, educational use. If you would like to modify the video, please contact us:

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