Questions tagged [power]

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Why am I getting different results by simplifying $(a(x-b))^{m+n}(-a(x-b))^{-m-n}=(-1)^{m+n}$?

We know that $n\ge0$ and $m>0$ and both are integers. We also know that $a,b>0$. I think for any $0\le x\le b$, we should have $(a(x-b))^{m+n}(-a(x-b))^{-m-n}=(-1)^{m+n}$ But when I try to ...
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74 views

Parallel Mathematica-code that runs too slow when running PowerRepresentations[] function

Well, I am a student in elementary number theory and trying to find natural numbers that can be written as the sum of integers to the power of an integer. The code I am using now is the following: <...
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105 views

Is there a way to collect the multiple power into a single power?

I am looking away to factor perfect powers like follows: FactorPerfectPower[16x^2] should produce Inactive[Power][4x,2]. ...
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1answer
38 views

How to use Power with NumberForm?

Being in need of calculating the following numbers with 18 decimals of precision: $2^{2^{-x}}, x\in{\mathbb{N}}$. I looked for what built-in symbols can help me and found Power and NumberForm. I tried ...
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1answer
28 views

Replacement rule from list to powers

I would like to write a replacement rule that gives all the possible products of traces for a given length. For example, all the possible partitions of length 3 can ...