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Consider the following two values: 

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

Which is bigger?  

 Jul 1, 2020
 #1
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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! :)

 Jul 1, 2020
 #2
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Yes, you are right. They are EQUAL.

 Jul 1, 2020
 #3
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oh wow! yay! :D

lokiisnotdead  Jul 1, 2020

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