help

Question

0

535

3

Consider the following two values:

$\begin{align} A &= 4^{5000} \cdot 4^{5000} \\ B &= 2^{19999} + 2^{19999} \end{align}$

Which is bigger?

Guest Jul 1, 2020

lokiisnotdead · Answer 1 · 2020-07-01T08:10:10

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! :)

Guest · Answer 2 · 2020-07-01T09:12:32

Yes, you are right. They are EQUAL.