List questions from exponentiation

60

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Prove that $\forall \, a,b \in \mathbb{N}- \{0,1\}\,\, \wedge \,\,a<b \,\, ; \,\, a^{1/a} > b^{1/b}$

Published on 11 Apr 2026 - 23:32

100

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Fast check If the remainder is 1

Published on 13 Apr 2026 - 3:15

279

Views

Definitive answer to existence of real exponents

Published on 02 Jan 2014 - 2:05

101

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Calculate approximately the expression $A = 5^{1/2} . 5^{1/4} . 5^{1/8}...$

Published on 11 Apr 2026 - 23:32

148

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Find $x$ in $\large \,\, A^{A^{{{A^.}^.}^.}}= \,\,(\sqrt [x\cdot x\cdot x\cdot ...] x)^{ (((1\cdot x+1)x +1)x +1)x+1...} $

Published on 11 Apr 2026 - 23:25

348

Views

Complex exponential

Published on 11 Apr 2026 - 16:30

574

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Showing (1 - polynomial fraction) raised to a polynomial power is a negligible function

Published on 13 Apr 2026 - 14:14

745

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Biggest powers NOT containing all digits.

Published on 09 Apr 2026 - 19:35

888

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Calculating $a^n\pmod m$ in the general case

Published on 26 Mar 2026 - 16:22

129

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Exponential equation+derivative

Published on 12 Apr 2026 - 0:49

501

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Modular Arithmetic with Powers and Large Numbers

Published on 12 Apr 2026 - 13:49

3k

Views

Riemannian geometry: ...Why is it called 'Exponential' map?

Published on 10 Apr 2026 - 13:37

452

Views

Why does $a^{b}·a^{c}=a^{b+c}$?

Published on 10 Jan 2014 - 14:07

110

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Rules for $(x^a)^b$ - complex number.

Published on 12 Apr 2026 - 4:55

1.3k

Views

Whether matrix exponential from skew-symmetric 3x3 matrices to SO(3) is local homeomorphism?

Published on 05 Apr 2026 - 14:56

List Question

Prove that $\forall \, a,b \in \mathbb{N}- \{0,1\}\,\, \wedge \,\,a<b \,\, ; \,\, a^{1/a} > b^{1/b}$

Fast check If the remainder is 1

Definitive answer to existence of real exponents

Calculate approximately the expression $A = 5^{1/2} . 5^{1/4} . 5^{1/8}...$

Find $x$ in $\large \,\, A^{A^{{{A^.}^.}^.}}= \,\,(\sqrt [x\cdot x\cdot x\cdot ...] x)^{ (((1\cdot x+1)x +1)x +1)x+1...} $

Complex exponential

Showing (1 - polynomial fraction) raised to a polynomial power is a negligible function

Biggest powers NOT containing all digits.

Calculating $a^n\pmod m$ in the general case

Exponential equation+derivative

Modular Arithmetic with Powers and Large Numbers

Riemannian geometry: ...Why is it called 'Exponential' map?

Why does $a^{b}·a^{c}=a^{b+c}$?

Rules for $(x^a)^b$ - complex number.

Whether matrix exponential from skew-symmetric 3x3 matrices to SO(3) is local homeomorphism?

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