? Determine whether the following True true or false: \[ x^{\frac{2}{5}} y^{\frac{3}{5}}=x y \] False

Step 1 ：Determine whether the following is true or false: \(x^{\frac{2}{5}} y^{\frac{3}{5}}=x y\)

Step 2 ：To solve this problem, we need to compare the two sides of the equation. If they are equal for all x and y, then the statement is true. Otherwise, it is false. We can do this by simplifying both sides of the equation and comparing the results.

Step 3 ：Let's simplify the left side of the equation: \(x^{\frac{2}{5}} y^{\frac{3}{5}}\)

Step 4 ：Let's simplify the right side of the equation: \(x y\)

Step 5 ：The simplified forms of the left and right sides of the equation are not equal. Therefore, the statement is false.

Step 6 ：Final Answer: \(\boxed{\text{False}}\)