Evaluate:

By prime factorization method we get;


2



4096



2



2048



2



1024



2



512



2



256



2



128



2



64



2



32



2



16



2



8



2



4



2



2




1



4096 = 2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2 ×2


= (2 ×2 ×2) × (2 ×2 ×2) × (2 ×2 ×2) × (2 ×2 ×2)


= 23 × 23 × 23 × 23


= (2 ×2 ×2 ×2) = 20


7