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Hi ;) look at this example : (x^2)3 = x^2*3=x^6 And look : \[\sqrt[y]{x^z}=x^z/y\] So : \[\sqrt[8]{2^6}=2^6/8\] ok ?
i would start by saying that \(5\times 7=35\) so you can rewrite this as \[\large \sqrt[6]{x^{35}}\]
then \(6\) goes in to \(35\) 5 times, with a remainder of \(5\) so it is the same as \[\large x^5\sqrt[6]{x^5}\]
if you want a "rational exponent" you can write it as \[\large x^{\frac{35}{6}}\]
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