List questions from exponentiation

Published on 21 Dec 2014 - 13:48

1.9k

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How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$

Published on 25 Mar 2026 - 14:39

444

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Integral evaluation (step-by-step)

Published on 22 Dec 2014 - 17:19

159

Views

Simplify $x ^ y + x ^ z$ to a formula with only one $x$

Published on 22 Dec 2014 - 23:52

41

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A perimeter and exponentiation problem

Published on 23 Dec 2014 - 11:56

545

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Generalisation of $(n+3)^2-(n+2)^2-(n+1)^2+n^2=4$

Published on 26 Mar 2026 - 21:26

61

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What is <any number>^i?

Published on 24 Dec 2014 - 11:54

8.5k

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Proof that sum of first $n$ cubes is always a perfect square

Published on 25 Dec 2014 - 12:49

178

Views

Powers containing every digit equally often

Published on 25 Dec 2014 - 19:48

1k

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Exponential congruence

Published on 27 Dec 2014 - 17:10

6.6k

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How to prove $x^ax^b = x^{a+b}$

Published on 29 Dec 2014 - 11:35

6.9k

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Find exponential function given two points

Published on 30 Dec 2014 - 2:45

409

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How many zeroes would be there at the end of $11^{(5!)!}-1$?

Published on 29 Mar 2026 - 8:15

235

Views

Existence of $x$ such that $2^x =a,3^x=b,5^x=c$ for some integers $a,b,c$

Published on 25 Mar 2026 - 19:10

1.4k

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$x^n y^n = (xy)^n$, proof exercise

Published on 01 Jan 2015 - 22:28

List Question

Calculate $1^1 + 2^2 + 3^3 + ... + n^n$

How can I prove $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\sqrt{2}...}}}}=2$

Integral evaluation (step-by-step)

Simplify $x ^ y + x ^ z$ to a formula with only one $x$

A perimeter and exponentiation problem

Generalisation of $(n+3)^2-(n+2)^2-(n+1)^2+n^2=4$

What is <any number>^i?

Proof that sum of first $n$ cubes is always a perfect square

Powers containing every digit equally often

Exponential congruence

How to prove $x^ax^b = x^{a+b}$

Find exponential function given two points

How many zeroes would be there at the end of $11^{(5!)!}-1$?

Existence of $x$ such that $2^x =a,3^x=b,5^x=c$ for some integers $a,b,c$

$x^n y^n = (xy)^n$, proof exercise

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