Find the relative error in Z, if `Z =(A^(4)B^(1//3))/(CD^(3//2)` and the percentage error in the measurements of A,B,C and D are 4%,2%,3% and 1%, respectively.

Explanation

To find the relative error in \( Z \) given by the formula:

\[ Z = \frac{A^4 B^{1/3}}{C D^{3/2}} \]

and the percentage errors in the measurements of \( A, B, C, \) and \( D \) are 4%, 2%, 3%, and 1% respectively, we will follow these steps:

...