There are (24)2 ⋅ 20 books in a cupboard. What is the total number of books in the cupboard? (5 points)
2^2
2^6
2^8
2^16
To find the total number of books in the cupboard, we need to calculate (24)2 ⋅ 20.
Taking (24)2,
2^4 = 16
So, (24)2 = 16 x 16 = 256.
Now, we multiply by 20:
256 x 20 = 5120.
Therefore, the total number of books in the cupboard is 5120.
Please note that none of the given options 2^2, 2^6, 2^8, 2^16 is equal to 5120.