((2^19*27^3)+(15*4^9*9^4))/((6^9*2^10)+12^10).
We can try to simplify this. 27^3=(3^3)^3=3^9; 15=5*3; 4^9=2^18; 9^4=3^8; 6^9=2^9*3^9; 12^10=2^20*3^10.
The numbers are now broken down to their prime components.
(2^19*3^9+5*2^18*3^9)/(2^19*3^9+2^20*3^10).
Divide top and bottom by 2^18:
(2*3^9+5*3^9)/(2*3^9+2^2*3^10).
Divide top and bottom by 3^9:
7/(2+12)=7/14=1/2.