Find the relative error in Z, if `Z=A^(4)B^(1//3)//CD^(3//2)`.

Explanation

To find the relative error in \( Z \) given the expression \( Z = \frac{A^4 B^{1/3}}{C D^{3/2}} \), we will use the concept of propagation of errors. The relative error in a quantity that is a function of multiple variables can be calculated using the following formula:

\[ \frac{\Delta Z}{Z} = \sqrt{\left( \frac{\partial Z}{\partial A} \cdot \frac{\Delta A}{A} \right)^2 + \left( \frac{\partial Z}{\partial B} \cdot \frac{\Delta B}{B} \right)^2 + \left( \frac{\partial Z}{\partial C} \cdot \frac{\Delta C}{C} \right)^2 + \left( \frac{\partial Z}{\partial D} \cdot \frac{\Delta D}{D} \right)^2} \]

Where:
- \( \Delta Z \) is the absolute error in \( Z \)
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