A physical quantity X is related to four measurable quantities a,b,c and d as follows `X=a^2b^3c^((5)/(2))d^-2`. The percentage error in the measurement of a,b,c and d are 1%,2%,3% and 4% repectively. What is the percentage erroe in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.

Explanation

To solve the problem, we need to find the percentage error in the physical quantity \( X \) given its relation to the measurable quantities \( a, b, c, \) and \( d \). The relationship is given by:

\[ X = a^2 b^3 c^{\frac{5}{2}} d^{-2} \]

### Step 1: Identify the percentage errors
The percentage errors in the measurements of \( a, b, c, \) and \( d \) are:
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