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15
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Showing the inequality $f(x)=x^{2(1-x)}+(1-x)^{2x}\leq 1$ for $0<x<1$

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#derivatives #inequality #exponentiation #jensen-inequality
43
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Exponents and bases

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#algebra-precalculus #logarithms #solution-verification #exponentiation
125
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Reasoning about $2^m - 3^n$ where $m>0,n>0$ are integers

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#summation #solution-verification #exponentiation
65
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How to solve for $x$ in the equation $y = (x + 25)^x$ where you know the value of $y$

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#exponentiation
32
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Understanding the evaluation of a fraction

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#exponentiation #fractions
129
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Restrictions on exponent laws

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#algebra-precalculus #logarithms #roots #exponentiation #radicals
3.6k
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What is $-1$ to the power of a fraction?

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#arithmetic #exponentiation
71
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The number of digits in an exponent of two

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#exponentiation #estimation
97
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Significance of $e^\pi$

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#exponential-function #exponentiation #pi #constants
230
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Is there a solution to $2^a+2^b = 10^c+10^d$, with $0 \leq a < b$ and $0 \leq c < d$?

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#number-theory #exponentiation
41
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Restrictions adding exponent laws

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#algebra-precalculus #exponential-function #exponentiation #radicals
94
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Exponents and Log properties

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#real-analysis #calculus #number-theory #logarithms #exponentiation
31
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Rewrite $ \frac{2}{5}(x-2)^\frac{5}{2} + \frac{4}{3}(x-2)^\frac{3}{2} + c$ to $\frac{2}{15}(3x+4)(x-2)^\frac{3}{2} + c $

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#algebra-precalculus #exponentiation
95
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Is it the case that there is some string, S, such that every string ending in S ends a perfect square? If so, is the same true for every power?

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#elementary-number-theory #exponentiation
91
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Restrictions on exponential

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#algebra-precalculus #logarithms #exponentiation #radicals

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