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How to differentiate $x^{\frac1x}$?

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#derivatives #exponentiation
654
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Simplifying Large Bases with large Exponents

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#algebra-precalculus #discrete-mathematics #modular-arithmetic #exponentiation
205
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How to solve an equation with the unknown variable both in the exponent and in linear summand?

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#exponentiation
66
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Simplifying and taking the limit

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#calculus #limits #exponentiation
560
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What is the argument of the logarithm operator called?

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#logarithms #terminology #exponentiation
66
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Exponentiation of Diagonalizable Matrix

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#matrices #exponentiation #diagonalization
91
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Enough differences of powers of natural numbers equals a constant

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#sequences-and-series #number-theory #elementary-number-theory #reference-request #exponentiation
45
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Name for inequality about sums of exponents with same base

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#inequality #summation #exponentiation #integers
967
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Why does $\frac{1}{4}x^{-3/4} = \frac{1}{4x^{3/4}} = \frac{1}{4\sqrt[4]{x^3}}$?

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#algebra-precalculus #exponentiation #radicals
84
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Exponent of x in the prime factorization of y?

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#exponentiation #prime-factorization
118
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Digit-sum division check in base-$n$

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#summation #divisibility #exponentiation
754
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The exponent of $11$ in the prime factorization of $ 300!$ is___.

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#number-theory #elementary-number-theory #prime-numbers #exponentiation #factorial
87
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Limit with logarithm: $\lim_{n \to \infty} \frac{n^\alpha}{\ln^\beta n}$

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#calculus #limits #convergence-divergence #logarithms #exponentiation
123
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Powers with complex/negative bases

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#complex-analysis #complex-numbers #exponentiation
288
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$(-1)^{\sqrt{2}} = ? $

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#complex-numbers #exponentiation

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