List questions from exponentiation

Published on 05 Nov 2019 - 19:18

59

Views

Solve $\sqrt[x]{\frac{2}{(x+1)}} = {(x+1)}^{x+2}$.

Published on 06 Nov 2019 - 2:35

311

Views

How to do exponential division when base and exponent is different between numerator and denominator?

Published on 06 Nov 2019 - 5:25

38

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What is $x^{\log n}$ if $x \in \Bbb R^{-}$?

Published on 06 Nov 2019 - 6:10

38

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What does this rule mean?

Published on 06 Nov 2019 - 15:08

28

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Power in the denominator

Published on 29 Mar 2026 - 10:47

58

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Commutativity of powers in $\Bbb Q$.

Published on 07 Nov 2019 - 15:55

1.9k

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Why does modular exponentiation always form a cycle?

Published on 08 Nov 2019 - 2:15

350

Views

Proving exponent law for negative integers

Published on 08 Nov 2019 - 23:03

333

Views

What is the vertex of $y = x^x$?

Published on 09 Nov 2019 - 5:03

39

Views

Solving for terms of the sequence given by $ x^{2(2^k-1)}(x-1)=\ln2$ or gain some insight

Published on 09 Nov 2019 - 23:19

204

Views

Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$

Published on 25 Mar 2026 - 16:14

42

Views

What's wrong with this reasoning? $((-2)^2)^\frac{1}{2} = (-2)^1 = -2$ vs $((-2)^2)^\frac{1}{2} = 4^\frac{1}{2} = 2$

Published on 12 Nov 2019 - 22:52

58

Views

How to solve $x^x = N$

Published on 13 Nov 2019 - 16:09

361

Views

How to prove the divergence of the highest power of $2$ that divides $n$ -sequence

Published on 29 Mar 2026 - 22:13

List Question

When can I reduce a fraction?

Solve $\sqrt[x]{\frac{2}{(x+1)}} = {(x+1)}^{x+2}$.

How to do exponential division when base and exponent is different between numerator and denominator?

What is $x^{\log n}$ if $x \in \Bbb R^{-}$?

What does this rule mean?

Power in the denominator

Commutativity of powers in $\Bbb Q$.

Why does modular exponentiation always form a cycle?

Proving exponent law for negative integers

What is the vertex of $y = x^x$?

Solving for terms of the sequence given by $ x^{2(2^k-1)}(x-1)=\ln2$ or gain some insight

Tetration convergence: prove $\lim_{x\rightarrow0} {}^{n}x = \begin{cases} 1, & n \text{ even} \\ 0, & n \text{ odd} \end{cases}$

What's wrong with this reasoning? $((-2)^2)^\frac{1}{2} = (-2)^1 = -2$ vs $((-2)^2)^\frac{1}{2} = 4^\frac{1}{2} = 2$

How to solve $x^x = N$

How to prove the divergence of the highest power of $2$ that divides $n$ -sequence

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