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I'm trying to figure out the answer to how many possible youtube videos can be made, but

I can't find a calculator that doesn't answer this question with infinity: 33177600000000 ^ 2376000

Anyone have an answer?

 May 31, 2017
 #1
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4.37750 x 10^32,125,527

 May 31, 2017
 #2
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33177600000000 ^ 2376000

 

\(let\\ y=33177600000000 ^ {2376000}\\ logy=log33177600000000 ^ {2376000}\\ logy=2376000*log33177600000000\\\)

 

2376000*log(33177600000000) = 32125527.641227103424

 

\(logy=32125527.641227103424\\ 10^{logy}=10^{32125527.641227103424}\\ y=10^{32125527}\times 10^{0.641227103424}\\ y=10^{0.641227103424}\times 10^{32125527}\\ y=4.377509562\times 10^{32125527}\\ 33177600000000 ^ {2376000}=4.377509562\times 10^{32125527}\\\)

 May 31, 2017

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