1. The problem statement, all variables and given/known data Q7. a) Express [itex]x[/itex]^[itex](n-1)⋅³√(y^2/2x^5) [/itex] in its simplest, rationalised surd form. b) Given that the solution to part a) is 5, and that [itex]y[/itex] can be expressed as [itex]1/x[/itex]^[itex](6n+5)/4)[/itex], determine the value of [itex]x[/itex]. Again, express your answer in rationalised surd form. *Note, this is a non-calculator question* 2. Relevant equations None, but I suppose knowledge of the index laws would be needed. 3. The attempt at a solution I have attached my attempted workings to the sheet. While I believe to have gotten to a reasonable answer, I have no way of checking if I am right (this question has come from a sheet, not a text book). This is by far the hardest problem I've encountered with in dices thus far, so I would be very grateful if anybody could double check my work. Thank you for your time.