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Are solutions $z$ of $Im(z^z)=0$ dense in $\mathbb{C}$?

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#complex-analysis #exponentiation
165
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How to show $b^t < b^r$ for $b>1$, if $t < r$ and both are rationals, using only basic tools of analysis?

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#real-analysis #exponentiation
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Solve the equation $2^x+3^x-4^x+6^x-9^x=1$

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#exponentiation
423
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What is $1111^{2222}\pmod9$?

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#proof-verification #modular-arithmetic #exponentiation #totient-function
367
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Exponentiation of a power series

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#proof-writing #power-series #exponentiation
100
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Understanding $\sqrt{x^2}$ in a rational expression as x goes to infinity in Calculus

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#calculus #exponentiation #radicals #infinity
59
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Simplifying the exponent (2/6)

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#algebra-precalculus #exponentiation
164
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Computing exponential object $A^{A}$ in category of irreflexive graphs

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#graph-theory #category-theory #exponentiation
51
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Polynomial Division with three terms

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#exponentiation #irreducible-polynomials
81
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Number Theory: A problem of powers.

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#number-theory #proof-verification #modular-arithmetic #exponentiation
1k
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Power Towers, and Notation for Iterated Exponentiation

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#soft-question #exponentiation #power-towers
89
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power rule not working with $\sqrt{-1}$

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#complex-numbers #exponentiation
63
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If $X = A^B + C$, why are C and X always divisible by A the same number of times?

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#divisibility #exponentiation
46
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Parity of number of digits

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#exponentiation #decimal-expansion
50
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Find the value of $y+z$, if $3^{\log_a x}+3x^{\log_a 3}=2$ and $x=y^{-\log_z a}$.

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#logarithms #exponentiation

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