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Minimum of repeated iteration of $n^{-x}$

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#exponentiation #fixed-point-theorems
86
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Find when $2^{3^{4^{...^{n}}}} \equiv 1$ (mod $n+1$) is true

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#number-theory #prime-numbers #modular-arithmetic #exponentiation
218
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Converting $i$ to exponential form

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#complex-numbers #exponentiation
73
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Why $(i-1)^{2i}\neq[(i-1)^2]^i$?

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#complex-numbers #exponentiation
78
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Finding the smallest prime factor of $\sum_{a=1}^N a^{k}$

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#prime-numbers #modular-arithmetic #exponentiation #prime-factorization
103
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Proof about eigenspace of eigenvalue in power of matrix

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#matrices #eigenvalues-eigenvectors #exponentiation
336
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$\forall x \in \mathbb{R}^{+}, n \in \mathbb{N}$, prove that $\exists y \in \mathbb{R}^{+}$ such that $y^n = x$.

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#real-analysis #proof-writing #exponentiation
129
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Solve: $\log_3(5(2^2+3^2)(2^4+3^4)(2^8+3^8)(2^{16}+3^{16})(2^{32}+3^{32})+2^{64})=?$

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#algebra-precalculus #logarithms #exponentiation
42
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Solve y(a^y-1)=b

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#exponentiation
105
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Why not define exponents as $x\times|x|\times|x|$....

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#complex-numbers #exponentiation
99
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How to find $\lim\limits_{n\to\infty}\frac{2^{2^n}}{n!}$?

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#limits #exponentiation #factorial
543
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Solving $\sqrt{x}^{\sqrt{x}^{\sqrt{x}}} = 2^{512}$.

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#exponentiation
29
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Algebraic Exponent GCSE Edexcel Exam Question. Help Please...

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#algebra-precalculus #exponentiation
202
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How to calculate the derivative of $x^x$?

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#calculus #derivatives #exponentiation
139
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Imaginary number/exponent rules misconception

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#complex-numbers #exponentiation

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