Find the cube root of each of the following rational numbers: `(-125)/(729)` (ii) `(10648)/(12167)` (iii) `(-19683)/(24389)` `(686)/(-3456)` (v) `(-39304)/(-42875)`

Explanation

To find the cube root of each of the given rational numbers, we will follow a systematic approach of factoring the numbers and applying the properties of cube roots. Let's solve each part step by step.

### (i) Find the cube root of \((-125)/(729)\)

1. **Identify the negative sign**:
\[ \text{Cube root of } \left(-\frac{125}{729}\right) = \frac{\text{Cube root of } -125}{\text{Cube root of } 729} \]
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