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Old 06-19-2017, 02:49 PM   #1
Shane77624
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Simple question:

Can an exponent have an exponent?

For example, can you have 9^9^9?
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Old 06-19-2017, 02:54 PM   #2
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My Microsoft excel says yes.
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Old 06-19-2017, 02:55 PM   #3
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Old 06-19-2017, 02:58 PM   #4
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Not the way that you have it written (if I'm not mistaken). Though, the "powers rule" allows you to raise a power to a power. For example... (a^x)^y = a^(x*y). So (9^9)^9 = 9^81. Hence my comment "not the way you have it written."

Somebody feel free to correct me. Been a few years since graduation so I'm a bit rusty. Here are some more rules that may apply to whatever you're working on...

http://www.mesacc.edu/~scotz47781/ma...ew/review.html
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Old 06-19-2017, 03:28 PM   #5
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I would show it as x^(x^x)
So 2^(2^2) = 2^4= 16
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Old 06-19-2017, 03:38 PM   #6
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sure
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Old 06-19-2017, 04:00 PM   #7
Shane77624
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The question came up when I read an article about the largest number you can make using three digits(numbers).

Instinct is to go to 999, but the article showed that nine to the ninth power to the ninth power was actually the largest number.

It was an interesting read.


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Old 06-19-2017, 04:05 PM   #8
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https://www.linkedin.com/pulse/whats...e-its-ed-trice



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Old 06-19-2017, 04:07 PM   #9
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yes it can. seems like every calculus problem i'm working on every night has it that way
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Old 06-19-2017, 04:10 PM   #10
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Hunting season needs to start soon!!!!
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Old 06-19-2017, 04:25 PM   #11
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196,627,050,475,552,913,618,075,908,526,912,116,28 3,103,450,944,214,766,927,315,415,537,966,391,196, 809 is your answer!

I don't know why it's putting the spaces in!

Last edited by jlinville; 06-19-2017 at 04:27 PM..
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