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Is there a proof $e^ae^b=e^{a+b}$ using its power series expansion?

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#calculus #power-series #exponential-function #exponentiation #alternative-proof
70
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Find the explicit formula for this recurrence relation

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#proof-writing #induction #recurrence-relations #exponentiation #recursive-algorithms
158
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Proof that $x>0$ and $r,s\in\mathbb R\implies(x^{r})^{s}=x^{rs}$

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#real-analysis #limits #real-numbers #exponentiation
314
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Is it possible to determine how many digits are required to represent an equation?

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#exponentiation #scientific-notation
52
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For what cardinals does exponentiation by a smaller cardinal is idempotent.

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#set-theory #exponentiation #cardinals #infinity
17
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Power function in non-commutative algebras

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#matrices #exponentiation #noncommutative-algebra
61
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How do I calculate the power of ten of $9^{10^{8.58}}$?

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#logarithms #exponentiation
84
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Solving for the number of digits in large exponent problems

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#algebra-precalculus #logarithms #exponentiation
297
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Lion and wildebeest population modelling question issue

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#exponential-function #quadratics #exponentiation #mathematical-modeling
66
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If $X=\left(\begin{matrix}1 & -\frac{1}{5}-\frac{2}{5}i \\ 2+i & -i \end{matrix}\right)$, find the modulus of the sum of the elements of $X^{2023}$

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#linear-algebra #matrices #complex-numbers #exponentiation
196
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Is $(-3)^\frac 23$ a valid number in $\mathbb{R}$?

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#algebra-precalculus #exponentiation
108
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Simplifying a subindex equation

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#sequences-and-series #algebra-precalculus #summation #exponentiation #index-notation
41
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complex numbers and powers

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#complex-numbers #exponentiation
58
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Can I rewrite an exponential with product of powers as product of two terms?

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#functions #exponential-function #exponentiation #transformation
131
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How to exponentiate the vector field $v$?

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#differential-geometry #lie-groups #lie-algebras #exponentiation #vector-fields

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