List questions from exponentiation

Published on 22 Nov 2015 - 0:36

41

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Existance of a nonempty subset $X$ of $\mathbb{Z}$: $\forall x \in X, k \in \mathbb{N}, \exists ! y \in X$ satisfying $\mid x-y \mid 2^k$

Published on 22 Nov 2015 - 4:13

108

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When is $0^0 = 1$ inconvenient? I heard sometimes $0^0 = 0$ may help.

Published on 22 Nov 2015 - 6:13

61

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Proofs of basilar powers identities

Published on 23 Nov 2015 - 20:02

123

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Why is $\left(\frac{1}{2}\right)^{x} = \frac{1}{7}$ the same as saying: $(2)^{x} = 7$

Published on 02 Apr 2026 - 23:03

41

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Exponentiation - I can do this?

Published on 25 Nov 2015 - 19:28

575

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Trying to show that $\sup \{b^p:p\in Q,\;0<p<x\} = \inf\{b^q:q\in Q,\;x<q\}$

Published on 03 Apr 2026 - 21:28

750

Views

An interesting log problem $3^{{(log_3{x})}^2}+x^{log_3x}=162$

Published on 26 Nov 2015 - 7:30

1.1k

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Supremum and infimum of powers with rational exponents.

Published on 03 Apr 2026 - 21:25

16.7k

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Is there an algorithm to split a number into the sum of powers of 2?

Published on 30 Nov 2015 - 22:32

237

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Simplify the expression $(a+1)(a^2+1)(a^4+1)\cdots(a^{32}+1)$

Published on 01 Dec 2015 - 16:55

43

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Variables and exponents

Published on 03 Dec 2015 - 21:19

39

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Quick check on multiplied powers

Published on 04 Dec 2015 - 15:40

226

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$x^y = \exp( \ln(x) \cdot y )$, not a real solution for decimal numbers?

Published on 05 Dec 2015 - 7:21

541

Views

Numbers whose powers are almost integers

Published on 05 Dec 2015 - 12:14

List Question

finding the second smallest number

Existance of a nonempty subset $X$ of $\mathbb{Z}$: $\forall x \in X, k \in \mathbb{N}, \exists ! y \in X$ satisfying $\mid x-y \mid 2^k$

When is $0^0 = 1$ inconvenient? I heard sometimes $0^0 = 0$ may help.

Proofs of basilar powers identities

Why is $\left(\frac{1}{2}\right)^{x} = \frac{1}{7}$ the same as saying: $(2)^{x} = 7$

Exponentiation - I can do this?

Trying to show that $\sup \{b^p:p\in Q,\;0<p<x\} = \inf\{b^q:q\in Q,\;x<q\}$

An interesting log problem $3^{{(log_3{x})}^2}+x^{log_3x}=162$

Supremum and infimum of powers with rational exponents.

Is there an algorithm to split a number into the sum of powers of 2?

Simplify the expression $(a+1)(a^2+1)(a^4+1)\cdots(a^{32}+1)$

Variables and exponents

Quick check on multiplied powers

$x^y = \exp( \ln(x) \cdot y )$, not a real solution for decimal numbers?

Numbers whose powers are almost integers

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