Question

Can every positive integer be expressed as a difference between integer powers?

score 94 · Answer 1 · 2014-11-27 08:05:57

94

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Can every positive integer be expressed as a difference between integer powers?

Published on 27 Nov 2014 - 8:05

score 12.2k · Answer 2 · 2014-11-27 21:18:16

12.2k

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What is the function $f(x)=x^x$ called? How do you integrate it?

Published on 27 Nov 2014 - 21:18

score 4.4k · Answer 3 · 2026-03-25 01:18:50

4.4k

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How to determine without calculator which is bigger, $\left(\frac{1}{2}\right)^{\frac{1}{3}}$ or $\left(\frac{1}{3}\right)^{\frac{1}{2}}$

Published on 25 Mar 2026 - 1:18

score 5.4k · Answer 4 · 2014-11-28 11:59:23

5.4k

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Moving an exponent from the top to the bottom of a fraction and vice versa? Help pretty please :)

Published on 28 Nov 2014 - 11:59

score 110 · Answer 5 · 2026-03-26 12:58:17

110

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Conjecture: three or more decompositions into powers with a base differing by 1 means its a perfect power

Published on 26 Mar 2026 - 12:58

score 339 · Answer 6 · 2014-11-28 13:56:04

339

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Number theory: $x^y + 1 = y^x$

Published on 28 Nov 2014 - 13:56

score 341 · Answer 7 · 2014-11-30 16:56:06

341

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Raised to the power and modulus

Published on 30 Nov 2014 - 16:56

score 2.4k · Answer 8 · 2014-12-01 06:55:31

2.4k

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Why is x^(a/b) equivalent to the bth root of x raised to the a power?

Published on 01 Dec 2014 - 6:55

score 219 · Answer 9 · 2014-12-01 07:17:47

219

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Why can't you multiply the exponents when you have addition involved?

Published on 01 Dec 2014 - 7:17

score 91 · Answer 10 · 2014-12-02 12:09:57

91

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How to prove that $5^q<7^q$ implies $q>0$?

Published on 02 Dec 2014 - 12:09

score 118 · Answer 11 · 2026-03-26 19:18:37

118

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if -a^(-b^-c) is a positive integer and a, b, and c are integers, then...

Published on 26 Mar 2026 - 19:18

score 25 · Answer 12 · 2014-12-03 03:08:04

25

Views

Powers inequality proof

Published on 03 Dec 2014 - 3:08

score 59 · Answer 13 · 2014-12-06 01:41:41

59

Views

Simplifying exponents (How does $(2^6 + 2^3)(2^6-2^3)$ get created from $(2^6)^2 - (2^3)^2$

Published on 06 Dec 2014 - 1:41

score 104 · Answer 14 · 2014-12-06 05:05:40

104

Views

Variables, Square roots, and exponents

Published on 06 Dec 2014 - 5:05

score 252 · Answer 15 · 2014-12-07 11:54:57

252

Views

asymptotic of $x^{x^x} = n$

Published on 07 Dec 2014 - 11:54

List Question

Can every positive integer be expressed as a difference between integer powers?

What is the function $f(x)=x^x$ called? How do you integrate it?

How to determine without calculator which is bigger, $\left(\frac{1}{2}\right)^{\frac{1}{3}}$ or $\left(\frac{1}{3}\right)^{\frac{1}{2}}$

Moving an exponent from the top to the bottom of a fraction and vice versa? Help pretty please :)

Conjecture: three or more decompositions into powers with a base differing by 1 means its a perfect power

Number theory: $x^y + 1 = y^x$

Raised to the power and modulus

Why is x^(a/b) equivalent to the bth root of x raised to the a power?

Why can't you multiply the exponents when you have addition involved?

How to prove that $5^q<7^q$ implies $q>0$?

if -a^(-b^-c) is a positive integer and a, b, and c are integers, then...

Powers inequality proof

Simplifying exponents (How does $(2^6 + 2^3)(2^6-2^3)$ get created from $(2^6)^2 - (2^3)^2$

Variables, Square roots, and exponents

asymptotic of $x^{x^x} = n$

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