Question

How does $3(5^{k+1} + 4 \cdot 5^{k+1} - 1) / 4$ lead to $3(5^{k+2} - 1) / 4$?

score 22 · Answer 1 · 2020-02-07 19:28:49

22

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How does $3(5^{k+1} + 4 \cdot 5^{k+1} - 1) / 4$ lead to $3(5^{k+2} - 1) / 4$?

Published on 07 Feb 2020 - 19:28

score 42 · Answer 2 · 2020-02-09 07:41:03

42

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If $n^{\alpha}$ is an integer for every $n\in\mathbb N$, is $\alpha$ a nonnegative integer?

Published on 09 Feb 2020 - 7:41

score 314 · Answer 3 · 2026-03-28 16:44:21

314

Views

What is the authoritative consensus on ambiguous notation of $\sin^{-1}(x) = \arcsin(x)$ vs. $\sin^{-1}(x) = \csc(x)$?

Published on 28 Mar 2026 - 16:44

score 74 · Answer 4 · 2020-02-12 09:47:37

74

Views

Prove that $f(x)+f(x_0)\leq 2$

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score 186 · Answer 5 · 2026-03-29 21:36:27

186

Views

Finding $\lim_{n\to \infty}(n!-10^n)$

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score 98 · Answer 6 · 2020-02-12 14:37:24

98

Views

System of equations with $3^x+4^x+5^x$

Published on 12 Feb 2020 - 14:37

score 51 · Answer 7 · 2020-02-13 00:22:34

51

Views

Solving complex Exponential equations problem

Published on 13 Feb 2020 - 0:22

score 41 · Answer 8 · 2026-03-29 17:31:31

41

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Taking the Integer Power of a Number

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score 18 · Answer 9 · 2026-03-21 23:52:48

18

Views

Number of Bits Required to Store Every 32-bit/sample Audio File at 44100 Samples/Second up to 20 minutes

Published on 21 Mar 2026 - 23:52

score 222 · Answer 10 · 2026-03-29 13:27:49

222

Views

Without a calculator, prove: $7^{1/2} + 7^{1/3} + 7^{1/4} < 7$ [solved]

Published on 29 Mar 2026 - 13:27

score 121 · Answer 11 · 2020-02-18 18:29:08

121

Views

Definition of exponents $b^x$ (Rudin PMA)

Published on 18 Feb 2020 - 18:29

score 143 · Answer 12 · 2026-03-27 00:57:11

143

Views

How to solve $x^{x^{x^{x^{2010}}}} = 2010$

Published on 27 Mar 2026 - 0:57

score 54 · Answer 13 · 2020-02-19 04:58:36

54

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How to solve for complex expression?

Published on 19 Feb 2020 - 4:58

score 110 · Answer 14 · 2020-02-20 22:09:12

110

Views

Is it true that $(a+b)^p≥a^p+b^p$ for $p>1$

Published on 20 Feb 2020 - 22:09

score 76 · Answer 15 · 2026-03-28 03:01:07

76

Views

Am i able to calculate ($a^{bc}$ mod d) with ($a^{b}$ mod d) and ($a^{c}$ mod d) without knowing a power?

Published on 28 Mar 2026 - 3:01

List Question

How does $3(5^{k+1} + 4 \cdot 5^{k+1} - 1) / 4$ lead to $3(5^{k+2} - 1) / 4$?

If $n^{\alpha}$ is an integer for every $n\in\mathbb N$, is $\alpha$ a nonnegative integer?

What is the authoritative consensus on ambiguous notation of $\sin^{-1}(x) = \arcsin(x)$ vs. $\sin^{-1}(x) = \csc(x)$?

Prove that $f(x)+f(x_0)\leq 2$

Finding $\lim_{n\to \infty}(n!-10^n)$

System of equations with $3^x+4^x+5^x$

Solving complex Exponential equations problem

Taking the Integer Power of a Number

Number of Bits Required to Store Every 32-bit/sample Audio File at 44100 Samples/Second up to 20 minutes

Without a calculator, prove: $7^{1/2} + 7^{1/3} + 7^{1/4} < 7$ [solved]

Definition of exponents $b^x$ (Rudin PMA)

How to solve $x^{x^{x^{x^{2010}}}} = 2010$

How to solve for complex expression?

Is it true that $(a+b)^p≥a^p+b^p$ for $p>1$

Am i able to calculate ($a^{bc}$ mod d) with ($a^{b}$ mod d) and ($a^{c}$ mod d) without knowing a power?

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