It was a hard question :)
we are given the table representing an exponential function.
we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.
i.e. the following relation is obtained,
x = 1, y = 6
x = 2, y = 36 =
x = 3, y = 216 =
x = 4, y = 1296 =
x = 5, y = 7776 =
so, the geometric series obtained is .
thus, the common ratio is given by = = 6.
hence, the common ratio is 6.