Question

Way to express a number in its most compact sum of powers

score 360 · Answer 1 · 2019-06-30 17:29:49

360

Views

Way to express a number in its most compact sum of powers

Published on 30 Jun 2019 - 17:29

score 113 · Answer 2 · 2019-07-01 03:42:44

113

Views

How to prove $(a \cdot b)^n = a^n \cdot b^n$?

Published on 01 Jul 2019 - 3:42

score 174 · Answer 3 · 2026-03-26 17:46:12

174

Views

Does $x^{x^{x^{x^{x^{\,\,\style{display: inline-block; transform: rotate(60deg)}{\vdots}}}}}} =y$ imply $2=4$?

Published on 26 Mar 2026 - 17:46

score 59 · Answer 4 · 2019-07-02 02:34:25

59

Views

Why Does $a^0 = 1$ and $a^{-p} = {\frac{1}{a^p}}$ if $(a \not = 0) , p \not= 0$?

Published on 02 Jul 2019 - 2:34

score 114 · Answer 5 · 2026-03-25 20:15:52

114

Views

If $a^b$ has $b$ digits, what is the greatest value of $b$?

Published on 25 Mar 2026 - 20:15

score 67 · Answer 6 · 2019-07-04 18:57:06

67

Views

How do you prove $\prod_{i=0}^n(1+2^{2^i})=2^{2^{n+1}}-1$ using induction?

Published on 04 Jul 2019 - 18:57

score 27 · Answer 7 · 2019-07-04 19:46:33

27

Views

Given $ax^n = 2^k$ is it possible to calculate $k$ if $a$, $x$ and $n$ are known

Published on 04 Jul 2019 - 19:46

score 1.5k · Answer 8 · 2019-07-07 13:29:26

1.5k

Views

compare $m=50^{50}$ with $n=49^{51}$

Published on 07 Jul 2019 - 13:29

score 123 · Answer 9 · 2019-07-09 06:17:29

123

Views

$n^n<(n-1)^{n+1}$ for integer $n\ge5$

Published on 09 Jul 2019 - 6:17

score 635 · Answer 10 · 2026-03-25 15:39:42

635

Views

Method to find colossally abundant numbers?

Published on 25 Mar 2026 - 15:39

score 60 · Answer 11 · 2019-07-10 19:32:41

60

Views

I have a simple problem which gives two different solutions in two different calculators.

Published on 10 Jul 2019 - 19:32

score 289 · Answer 12 · 2026-03-23 20:14:54

289

Views

Intuitively, why are the two limit definitions of $e^x$ equivalent?

Published on 23 Mar 2026 - 20:14

score 41 · Answer 13 · 2026-03-25 16:46:31

41

Views

More Clarification on the number of $I$th powers modulo $p$

Published on 25 Mar 2026 - 16:46

score 49 · Answer 14 · 2019-07-12 13:17:33

49

Views

Equation for slope of exponential function of arbitrary base

Published on 12 Jul 2019 - 13:17

score 59 · Answer 15 · 2019-07-13 23:14:13

59

Views

Approximate $e^{1763.02}$ (in decimal notation) using only a standard scientific calculator

Published on 13 Jul 2019 - 23:14

List Question

Way to express a number in its most compact sum of powers

How to prove $(a \cdot b)^n = a^n \cdot b^n$?

Does $x^{x^{x^{x^{x^{\,\,\style{display: inline-block; transform: rotate(60deg)}{\vdots}}}}}} =y$ imply $2=4$?

Why Does $a^0 = 1$ and $a^{-p} = {\frac{1}{a^p}}$ if $(a \not = 0) , p \not= 0$?

If $a^b$ has $b$ digits, what is the greatest value of $b$?

How do you prove $\prod_{i=0}^n(1+2^{2^i})=2^{2^{n+1}}-1$ using induction?

Given $ax^n = 2^k$ is it possible to calculate $k$ if $a$, $x$ and $n$ are known

compare $m=50^{50}$ with $n=49^{51}$

$n^n<(n-1)^{n+1}$ for integer $n\ge5$

Method to find colossally abundant numbers?

I have a simple problem which gives two different solutions in two different calculators.

Intuitively, why are the two limit definitions of $e^x$ equivalent?

More Clarification on the number of $I$th powers modulo $p$

Equation for slope of exponential function of arbitrary base

Approximate $e^{1763.02}$ (in decimal notation) using only a standard scientific calculator

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