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How does $(x^3 + 8)^{-2/3} = 0$ become $(x^3 + 8) = 0$? Can a negative exponent always be simply dropped?

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#algebra-precalculus #exponentiation
73
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Does this integral converge

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#integration #convergence-divergence #definite-integrals #exponentiation #trigonometric-integrals
113
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Rewrite $2^{x-6} + 2^x$ as $A \cdot 2^x$

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#algebra-precalculus #exponentiation
70
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For integer $n \ge 3$, is $3^{2^{n-3}} -1 \equiv 0 \pmod {2^n}$

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#modular-arithmetic #induction #exponentiation
137
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Knowing $\exp(i\pi) = -1$, can we find out the value of $\pi$?

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#algebra-precalculus #exponentiation #pi
67
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Is this a valid argument to show that for $m > 4$, $2^m - 3^n \ne 7$

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#solution-verification #modular-arithmetic #exponentiation
142
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Why is $\sqrt[n]{a}$ equal to $a^{1/n}$ only when $n\ge 2$?

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#algebra-precalculus #exponential-function #exponentiation #radicals
308
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Solving for integers $m>8, n > 0$ for $2^m - 3^n = 13$

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#modular-arithmetic #diophantine-equations #exponentiation
91
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Definiton of powers and exponents

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#linear-algebra #matrices #complex-analysis #exponentiation #matrix-calculus
75
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Calculating $a$ for which the graph of $y=a^x$ touches the graph of $y=x$

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#logarithms #exponentiation #lambert-w
65
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Evaluating negative one to a rational power (transformation of a Bessel function argument)

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#exponentiation #bessel-functions
189
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How is Big O of fast exponentiation O(log n)?

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#algorithms #asymptotics #exponential-function #exponentiation
62
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Negative complex number in exponent

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#complex-numbers #exponentiation
202
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Difference or relation b/w $ \exp(\theta i) $ and $\ e^ {\theta i } $

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#complex-numbers #exponentiation
31
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Order of multiple exponents with negative sign

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#algebra-precalculus #exponentiation

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