cube root of (-64x^8y^5)

what is -4x^2y^(5/3)

it's pretty, but it's not the answer ...

To find the cube root of (-64x^8y^5), you can follow these steps:

1. Start by factoring out the largest perfect cube from the expression. In this case, the largest perfect cube is -64, which can be written as (-4)^3.

(-64x^8y^5) = (-4)^3 * (x^8y^5)

2. Take the cube root of the perfect cube factor. The cube root of (-4)^3 is -4.

Cube root of (-4)^3 * (x^8y^5) = -4 * (x^8y^5)

3. Simplify the remaining variables. Since x^8 and y^5 cannot be simplified further, we leave them as they are.

Cube root of (-64x^8y^5) = -4x^8y^5

Therefore, the cube root of (-64x^8y^5) is -4x^8y^5.