Complete this assessment to review what you've learned. It will not count tow What is the solution to \( y^{3}=x \) when \( x^{3}=512 \) ? (1 point) Check answer Remaining Attempts : 3

To solve this problem, we first need to determine the value of \( x \) from the equation \( x^3 = 512 \). When we take the cube root of 512, we find \( x = 8 \) since \( 8^3 = 512 \). Now, we substitute \( x = 8 \) into the equation \( y^3 = x \). This gives us \( y^3 = 8 \). Taking the cube root of both sides, we find \( y = 2 \), since \( 2^3 = 8 \). Therefore, the solution is \( y = 2 \).