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Prove $(AB)^{k} = A^{k}B^{k}$

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#linear-algebra #matrices #exponentiation
88
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Solving $A = 94\left(1 - e^{-0.43 B}\right)^{0.52}$ for $B$

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#algebra-precalculus #exponentiation
92
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How to solve $x^x = x?$

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#complex-analysis #exponentiation
68
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Solving $5\times9^x-8\times15^x+3\times25^x>0$

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#inequality #exponentiation #factoring
70
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For which $n$, will $n^x$ and $x$ be equal for just $1$ value of $x$

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#exponential-function #exponentiation
170
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How to factor a modulus into 2 primes given 2 equations with the factors as the 2 unknowns?

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#elementary-number-theory #modular-arithmetic #exponentiation #chinese-remainder-theorem
106
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How can I prove that this equality is not valid for any natural number?

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#divisibility #exponentiation #cubics
106
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Solving $(\sqrt{2})^x+(\sqrt{2})^{x-1}=2(2\sqrt{2}+1)$

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#algebra-precalculus #logarithms #exponentiation #radicals
120
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Numerically stable computation of logarithm of sum and fraction of exponentials

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#logarithms #exponentiation #numerical-calculus
495
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Gradient of a scalar to a power

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#calculus #vector-analysis #exponentiation
60
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Explanation for: $\frac{u^{-2}}{v^{-3}} = (u^{-2})(v^{-3})^{-1} = u^{-2}v^{3}=\frac{v^{3}}{u^{-2}}$ needed

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#algebra-precalculus #discrete-mathematics #exponentiation
116
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Squaring a Gamma Function

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#exponentiation #gamma-function
30
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Question regarding proof of: For any x and any base b, $x = log_{b}(b^{x}$)

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#discrete-mathematics #logarithms #exponentiation
289
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How to estimate fractional exponents using only addition, subtraction, multiplication and division?

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#exponential-function #exponentiation #computational-mathematics #estimation
67
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Pattern for $x^n + \frac{1}{x^n}$ if $x + \frac{1}{x} = \frac{1+\sqrt 5}{2}$

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#sequences-and-series #recurrence-relations #exponentiation

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