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:

1
1025
2
4097
3
2049
4
513

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