Answer : The real cube roots of -0.000125 is, -0.05
Step-by-step explanation :
Cube root : It is defined as the number which produces a given number when cubed.
For example :
3 cubed is 27, so the cube root of 27 is 3
We Can also cube negative numbers.
For example :
When we cube +5 we get, +125 : (+5) × (+5) × (+5) = +125
When we cube -5 we get, -125 : (-5) × (-5) × (-5) = -125
So, the cube root of -125 is, -5
As we are given the number -0.000125. Now we have to determine the real cube roots of this number.

Now taking cube root of this number, we get:
![-\sqrt[3]{\frac{125}{10^6}}=-\sqrt[3]{\frac{(5)^3}{10^6}}=-\frac{5}{10^2}=-0.05](https://tex.z-dn.net/?f=-%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B10%5E6%7D%7D%3D-%5Csqrt%5B3%5D%7B%5Cfrac%7B%285%29%5E3%7D%7B10%5E6%7D%7D%3D-%5Cfrac%7B5%7D%7B10%5E2%7D%3D-0.05)
Thus, the real cube roots of -0.000125 is, -0.05