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Rational polynomial functions.

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#polynomials #complex-numbers #exponentiation
75
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Find $x+y$ given that $(x+4)^{50} + (y-5)^{100} = 0$

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#algebra-precalculus #exponentiation
263
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Prove that $2^a+2^{1\over a} \le 1$ for $a<0$

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#real-analysis #inequality #exponentiation #real-numbers #maxima-minima
39
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Multiplying out squared brackets

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#exponentiation #education #simple-functions
55
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Find closed sequences of $y= \lceil log_2 x\rceil$ function

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#sequences-and-series #analysis #elementary-number-theory #exponentiation #discrete-logarithms
144
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Exponentiation rules

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#complex-numbers #exponentiation
373
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Computing the remainder of the power tower $2^{3^{4^{5^{6^{7}}}}} \bmod 9$

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#number-theory #modular-arithmetic #exponentiation
6.6k
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Why is $x^0 = 1$ except when $x = 0$?

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#definition #exponentiation
1.7k
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Exponential and log functions compose to identity

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#sequences-and-series #logarithms #exponentiation
11.9k
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Non-integer powers of negative numbers

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#complex-numbers #exponentiation
5.8k
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What is the value of $1^i$?

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#complex-numbers #exponentiation
8.1k
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Why is two to the power of zero equal to binary one?

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#arithmetic #exponentiation
288
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How do we solve $a \le b^{r}-r$ for $r$?

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#algebra-precalculus #exponentiation #roots
16.2k
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Comparing $\pi^e$ and $e^\pi$ without calculating them

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#real-analysis #inequality #exponential-function #exponentiation #pi
23k
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$x^y = y^x$ for integers $x$ and $y$

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#number-theory #diophantine-equations #exponentiation

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