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

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

(A)y^2
(B)y^8/3
(C)y^3
(D)y^5
(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:

$\left(x^\frac{2}{3}\right)^3=y^3$

$x^2=y^3$

Now square both sides to get to $x^4$ :

$\left(x^2\right)^2=\left(y^3\right)^2$

$x^4=y^6$

PWN Test Prep

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

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