In the measurement of a physical quantity `X = A^(2)B/C^(1//3)D^(3)` The percentage errors introduced in the measurement of the quantities A, B, C and D are 2%, 2%, 4% and 5% respectively. Then, the minimum amount of percentage error in the measurement of X is contributed by

Explanation

To solve the problem of determining the minimum percentage error in the measurement of the physical quantity \( X = \frac{A^2 B}{C^{1/3} D^3} \), given the percentage errors in the measurements of \( A, B, C, \) and \( D \), we will follow these steps:

### Step 1: Identify the formula for percentage error
The formula for the percentage error in a quantity \( X \) that is a function of other quantities is given by:

\[ \frac{\Delta X}{X} = \sum \left( n_i \frac{\Delta Y_i}{Y_i} \right) \]
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