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# The calculator says it's infinity

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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

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

Guest 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

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

Melody  May 31, 2017

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