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.