^3sqrt -375x^6y^4

simiplify

To simplify the expression ^3√(-375x^6y^4), we can break it down into its components.

First, let's take the cube root of -375, which is -5 since -5^3 = -375.
Next, let's simplify the expression x^6. Since we are taking the cube root, we can divide the exponent by 3: 6/3 = 2.
Similarly, we can simplify y^4 to y^1 since 4/3 = 1 remainder 1. However, since y^1 is just y, we don't need to include it in our final answer.

Putting it all together, the simplified expression is -5x^2y.