Hi good luck changing to and from third full by which I mean this question what the cube root of x that's third for a third is a way of depicting an irrational number and we're gonna express it in index form index form means you have the symbol we're using for the unknown and a power or index now it's a root so it's 1 over something and it's the cube root so it's 1 over 3 if the index is a fraction it means there's a root I'll show that again question 2 the fifth root of x is X to the one-fifth fraction one over means it's a root now what about if the the surd itself is raised to a power I give an example the fourth root of x cubed well an index form that's going to be x over X to the power minus take now the denominator of the fraction is the root we're finding but this time the numerator at the top number have been one it's going to be the power to which X is raised if you think about it's part of our laziness as I call it in maths strictly speaking each of those is X to the power 1 and since one over three give another example of that question four the seventh root of x to the power of five equals x to the well because we've got roots involved SERDES we know it's going to be a fraction the denominator is the the root we're trying to find in this case the seventh root and the numerator is the power of X within the root symbol question five it's one other one we need to know reciprocals what about one over x squared well we write...

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