If x^2/3=y, what does x^4 equal in terms of y?

(E) y^6

Please use parentheses when you submit a question like this. Technically, you said \dfrac{x^2}{3}, even though I’m pretty sure you meant x^\frac{2}{3}. Anyway…

First raise each side to the 3rd power to get rid of the fractional exponent:



Now square both sides to get to x^4:




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