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2^64)^(2^64) = 2^P What does P equal to? This looks

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cattalk
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2^64)^(2^64) = 2^P What does P equal to? This looks [#permalink] New post   17 Feb 2006, 22:45
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(2^64)^(2^64) = 2^P
What does P equal to?


This looks like a really simple problem. Too bad I remember absolutely nothing from my math days...I do remember a rule that lets you move the power to the front of the equation? Or am I mistaken on that?
Can anyone refresh that concept with me if I remembered it correctly?

Thanks!

P.S. By the way, I don't have the OA...



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Re: 2^64)^(2^64) = 2^P What does P equal to? This looks [#permalink] New post   17 Feb 2006, 22:54
lol, oops I plugged in some numbers and finally figured it out. The rule was that you could multiply the first power with the base of the second power, in this case you could multiply the first 64 with the second (2^64) on the left side of the equation.....
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Re: 2^64)^(2^64) = 2^P What does P equal to? This looks [#permalink] New post   18 Feb 2006, 07:42
cattalk wrote:
(2^64)^(2^64) = 2^P, What does P equal to?

This looks like a really simple problem. Too bad I remember absolutely nothing from my math days...I do remember a rule that lets you move the power to the front of the equation? Or am I mistaken on that?
Can anyone refresh that concept with me if I remembered it correctly?

Thanks! P.S. By the way, I don't have the OA...


(2^3)^(2^3) = 2^P
(2x2x2)^(2x2x2) = 2^P
(2)^(2x2x2) x (2)^(2x2x2) x (2)^(2x2x2) = 2^P
(2)^(8) x (2)^(8) x (2)^(8) = 2^P
(2)^(8+8+8) = 2^P
(2)^(24) = 2^P

therefore, p = 24 = 3 (2^3)

similarly (2^64)^(2^64) = 2^P
p = 64 x (2^64). i will check, if any.
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Re: 2^64)^(2^64) = 2^P What does P equal to? This looks [#permalink] New post   18 Feb 2006, 07:58
(x^y)^z= x^(y*z)

Hence:
(2^64)^(2^64)
=2^(64*(2^64))
=2^((2^6)*(2^64))
=2^(2^(6+64))
=2^(2^70)

P=2^70



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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Re: 2^64)^(2^64) = 2^P What does P equal to? This looks [#permalink]
18 Feb 2006, 07:58
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