List questions from exponentiation

Published on 01 Apr 2026 - 21:54

222

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Solving a Diophantine equation: $y^x=x^{2007}$, $x$ and $y$ integers.

Published on 27 Apr 2015 - 18:46

501

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Compare three numbers, expressed as powers: $4^{68}$, $5^{51}$ and $12^{23}$

Published on 25 Mar 2026 - 11:02

185

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Exponent identities with imaginary exponents$\left(a^i\right)^i$

Published on 28 Apr 2015 - 6:33

2.2k

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Why is $n^0 = 1$?

Published on 29 Apr 2015 - 14:58

202

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Does $1^i$ and $1^{\frac{0}{0}}$ also give $1$ again?

Published on 30 Apr 2015 - 9:40

72

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Confusion about exponents like ${x^m}^{(1/n)}$.

Published on 01 May 2015 - 17:06

5k

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Any reason an exponential decay function approaches but doesn't cross the x-axis?

Published on 02 May 2015 - 21:13

13.1k

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Why an exponential graph can't have b equal to 1

Published on 02 May 2015 - 21:16

67

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Why does the graph of an exponential function shoot straight up when getting to x=1 in an exponential growth function with x^huge number?

Published on 02 May 2015 - 22:05

7.7k

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Two hard indices questions, (what is power to a power of fraction) and (how is $(2^x)^2 = 4^x $)

Published on 02 May 2015 - 23:45

132

Views

How to find limit of $\lim_{x\to 0}\sin x^x$?

Published on 05 May 2015 - 16:45

5k

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Continuum between addition, multiplication and exponentiation?

Published on 25 Mar 2026 - 15:38

76

Views

Solve for $N$: $2000N=(0.9025)^{\log_2 N}$

Published on 07 May 2015 - 5:41

421

Views

Is locally lipschitz the power function?

Published on 29 Mar 2026 - 12:31

List Question

Algebraic simplification of likelihood ratio

Solving a Diophantine equation: $y^x=x^{2007}$, $x$ and $y$ integers.

Compare three numbers, expressed as powers: $4^{68}$, $5^{51}$ and $12^{23}$

Exponent identities with imaginary exponents$\left(a^i\right)^i$

Why is $n^0 = 1$?

Does $1^i$ and $1^{\frac{0}{0}}$ also give $1$ again?

Confusion about exponents like ${x^m}^{(1/n)}$.

Any reason an exponential decay function approaches but doesn't cross the x-axis?

Why an exponential graph can't have b equal to 1

Why does the graph of an exponential function shoot straight up when getting to x=1 in an exponential growth function with x^huge number?

Two hard indices questions, (what is power to a power of fraction) and (how is $(2^x)^2 = 4^x $)

How to find limit of $\lim_{x\to 0}\sin x^x$?

Continuum between addition, multiplication and exponentiation?

Solve for $N$: $2000N=(0.9025)^{\log_2 N}$

Is locally lipschitz the power function?

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