Answer Happy

Oh, emperor, my wishes are simple. I only wish for this.
Give me one grain of rice for the first square of the chessboard,
two grains for the next square, four for the next, eight for the
next and so on for all 64 squares, with each square having double
the number of grains as the square before."
Square #
“s”
Full, Expanded Expression
Simplified Exponent Expression
# Rice grains on square
“g”
1
1
1
1
2
1 x 2
1 x 21
2
3
1 x 2 x 2
1 x 22
4
4
1 x 2 x 2 x 2
1 x 23
8
5
1 x 2 x 2 x 2 x 2
1 x 24
16
6
1 x 2 x 2 x 2 x 2 x 2
1 x 25
32
7
1 x 2 x 2 x 2 x 2 x 2 x 2
1 x 26
64
8
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 27
128
9
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 28
256
10
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 29
512
11
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 210
1024
12
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 211
2048
13
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 2 12
4096
14
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 2 13
8192
15
1 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
1 x 214
16384
Assign values for the variables in the
equation, relevant to the rice and chessboard story: