Question

2*3^13+5*3^11+12*3^10

5*2^15+9*2^13+6*2^12

Answer 1

2*3^13+5*3^11+12*3^10  = 3^10 * (2 * 3^3 + 5 * 3^1 + 12 * 1) = 3^10 * (2 * 27 + 15 + 12) =

 

3^10 * (54 + 27) = 3^10 * 81 = 3^10 * 3^4 = 3^14

 

 

 

5*2^15+9*2^13+6*2^12 = 2^12 * (5 * 2^3 + 9 * 2^1 + 6 * 1) = 2^12 * (5 * 8 + 9 * 2 + 6) =

 

2^12 * (40 + 18 + 6) = 2^12 * 64 = 2^12 * 2^6 = 2^18