Question

Find the minimum value for a+b if..

Answer 1

\[a^b=(1+2)(1+2^2)(1+2^4)(1+2^8)(1+2^(16))+1\]

Answer 2

By the way it's 2^16 to clarify

Answer 3

let me know what you get!

Answer 4

I was able to simplify \(a^b\) as \(4^{16}\) and in general, I was able to prove by induction that
\[(1+2)(1+2^2)\cdots(1+2^{2^{n}})+1=4^{2^{n}}\]
but I'm not able to proceed.