List questions from exponentiation

Published on 26 Mar 2026 - 13:00

43

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How to represent a $5$ digit number that has $62$ choices per digit?

Published on 25 Jan 2016 - 3:59

144

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How can I compare the numbers $2^{39}$, $5^{19}$ and $52^7$?

Published on 25 Jan 2016 - 9:54

1.7k

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Why can't the exponent laws be extended to complex numbers?

Published on 25 Jan 2016 - 20:46

17k

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What are the Laws of Rational Exponents?

Published on 27 Mar 2026 - 2:35

39

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Equation solution in modular arithmetic

Published on 28 Mar 2026 - 4:22

824

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Common factor out from a sum of exponential functions

Published on 27 Jan 2016 - 16:08

159

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Proving $x<y \implies n^{x}<n^{y}$, for $n>1$, $x,y \in \mathbb R$

Published on 04 Apr 2026 - 4:04

106

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Why $5x \cdot 8x - 3x \cdot (-3x) \ne 49^4$?

Published on 28 Jan 2016 - 12:52

85

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Modular exponentiation and two primes

Published on 01 Apr 2026 - 15:06

113

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How can I find the exponent of a power of two from its remainder modulo a power of three?

Published on 29 Jan 2016 - 2:12

98

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Finding $\lim_{n \to \infty} \dfrac{n^n}{(2n)!}$

Published on 04 Apr 2026 - 13:39

149

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Evaluating limit $\lim_{n\to\infty}({\sqrt{4^n + 3^n} - 2^n})$

Published on 08 Apr 2026 - 9:44

20

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Prove the following simple exponentiation equality.

Published on 29 Jan 2016 - 16:47

40

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Integer Y with N Repeating Digits of X?

Published on 30 Jan 2016 - 14:29

List Question

Infinite tetration of $z$ where $z=i^i$

How to represent a $5$ digit number that has $62$ choices per digit?

How can I compare the numbers $2^{39}$, $5^{19}$ and $52^7$?

Why can't the exponent laws be extended to complex numbers?

What are the Laws of Rational Exponents?

Equation solution in modular arithmetic

Common factor out from a sum of exponential functions

Proving $x<y \implies n^{x}<n^{y}$, for $n>1$, $x,y \in \mathbb R$

Why $5x \cdot 8x - 3x \cdot (-3x) \ne 49^4$?

Modular exponentiation and two primes

How can I find the exponent of a power of two from its remainder modulo a power of three?

Finding $\lim_{n \to \infty} \dfrac{n^n}{(2n)!}$

Evaluating limit $\lim_{n\to\infty}({\sqrt{4^n + 3^n} - 2^n})$

Prove the following simple exponentiation equality.

Integer Y with N Repeating Digits of X?

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