If \(\frac{a}{b} = \frac{3}{4},\frac{b}{c} = \frac{4}{5}\) and \(\frac{c}{d} = \frac{5}{6}\), then the sum of the numerator and the denominator (which are co-primes) of \({\left( {\frac{a}{d}} \right)^{10}}\) is:

• A. 1025
• B. 4097
• C. 2049
• D. 513