What is the sum of the digits in the terminating decimal representation of the fraction \(\frac{4321}{5^7\cdot2^8}\) ?

4321/[5^7.2^8] = 0.00021605, so the sum of the digits:

2+1+6+5 =14.

(4321)/ (5^7 * 2^8) = 0.00021605

I'll let you do the math......