Consider the following two values:
\( \begin{align} A &= 4^{5000} \cdot 4^{5000} \\ B &= 2^{19999} + 2^{19999} \end{align}\)
Which is bigger?
i think they are equal since if you simplify,
\(A=4^{5000}\cdot4^{5000}=2^{10000}\cdot2^{10000}=\boxed{2^{20000}}\)
\(B=2^{19999}+2^{19999}=2(2^{19999})=\boxed{2^{20000}}\)
I'm not sure if this is right, so please let me know if it is! :)