Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
If x^(1 over 3) = y^2, which of the following must be equivalent to x?
(A) y^(1 over 6)
(B) y^(2 over 3)
(C) y^(3 over 2)
(D) y^3
(E) y^6
The correct answer is E
Explanation
If x^(1 over 3) = y^2, then (x^(1 over 3))^3 = (y^2)^3, so x = (x^(1 over 3))^3 = (y^2)^3 = y^6.