Final Answer:
The correct simplification of the expression "4 times x all over y all to the second power" is 4x/y^2.
Step-by-step explanation:
Here's how we simplify the expression:
"All over" means division: We can translate "all over" as division, so the expression becomes "4 times x divided by y to the second power".
Combine multiplication and division: "4 times x" is the same as 4 multiplied by x, so we can rewrite the expression as "(4 * x) / (y^2)".
Simplify: 4 * x = 4x, and y to the second power is y raised to the exponent 2, written as y^2. Therefore, the simplified expression is 4x / y^2.
Therefore, 4x/y^2 is the correct simplification of the original expression.