When we break a number into smaller parts the product become larger as number of parts becomes larger and each is smaller however no part can be 1 as it shall provide a smaller value. so we can break it into 1012 parts and each is 2 giving a product 2^{1012}.
However there is exception to ir as 2^3 \lt 3^2 so we can group terms of 3 getting 674 3 and left with 1 2 giving a product 3^{674} * 2
No comments:
Post a Comment