I am not really convinced with this approach, I find it simply as if we are factoring 16 into 2 raised to the 4 then raising it to a factor of n. when the power equals 0 that doesn’t change the value of K, it only changes the value of the equation, at least that’s how I see it. Can anyone help me?
When the power is 0, you have
2^{0} = k^0
k^0 = 1
and this can be any k (\neq 0).
Yes, the equation holds true when k = 16. The point isn’t that. The point is that for any (n, k) in the domain where the equation holds true… does that imply a relation between qty A and qty B ?
When (n, k) = (0, 1729) we have qty A > qty B, When (n, k) = (0, 0) we have qty A < qty B. Hence D. Indeterminate