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If $x^{x^{x^{16}}}=16$ calculate the value of $x^{x^{x^{12}}}$

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#power-towers
626
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Does the infinite power tower converge for all $0<x<1$

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#power-towers
67
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Evaluate $\frac{x^2}{y}$ where $x=a^{a^{a}}$ and $y=a^{a^{2a}}$

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#power-towers
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What is the maximum convergent $x$ in the power tower $x^{x^{x^{x\cdots}}}$?

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#convergence-divergence #tetration #power-towers
275
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How fast do iterated exponentiation converge?

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#limits #convergence-divergence #tetration #power-towers #hyperoperation
488
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How to calculate $p={{{{{{6^6}^6}^6}^6}^6}^6}$ $\mod7$?

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#elementary-number-theory #modular-arithmetic #power-towers
195
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What is the value of $i^{i^{i^\ldots}}$?

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#complex-numbers #exponentiation #tetration #power-towers
192
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Peter Walker's $C^{\infty}$ conjectured nowhere analytic slog

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#real-analysis #complex-analysis #analyticity #tetration #power-towers
283
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Why is $2^{2^{2^n}}$ not equal to $16^n$?

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#power-towers
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How many values of $2^{2^{2^{.^{.^{.^{2}}}}}}$ depending on parenthesis?

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#combinatorics #elementary-number-theory #recurrence-relations #power-towers
739
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Power tower question

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#power-towers
303
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How to find $3^{3^{3^{\dots}}}\pmod{100}$?

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#elementary-number-theory #modular-arithmetic #power-towers
122
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Fatou Coordinate with two complex conjugate fixed points and extending Tetration to real values

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#complex-analysis #tetration #complex-dynamics #power-towers
256
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Attempt on fractional tetration

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#tetration #power-towers
231
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Confused with exponent rules?

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#exponentiation #power-towers

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