List questions from exponentiation

Published on 19 Feb 2015 - 15:04

66

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Assuming $m \ge 3$, under what conditions is $z^{m-1} = \frac{x^m + y^m}{x + y}$?

Published on 20 Feb 2015 - 18:57

78

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Modular Congruence, Power

Published on 20 Feb 2015 - 19:40

47

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A question in powers

Published on 21 Feb 2015 - 13:35

77

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How to use the chain rule to differentiate

Published on 23 Feb 2015 - 1:17

1.7k

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Modular Arithmetic with Multiple Exponents

Published on 23 Feb 2015 - 4:33

500

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Solving for $z^2 = x^2 -xy + y^2$

Published on 23 Feb 2015 - 20:29

4.1k

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Inequality from Chapter 5 of the book How to Think Like a Mathematician

Published on 02 Apr 2026 - 20:11

105

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Differentiate $f(x) = exp_{a}(x) $ from first principles

Published on 27 Feb 2015 - 11:19

14.2k

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Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power

Published on 26 Mar 2026 - 4:36

2.4k

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Arrangement of integers in a row such that the sum of every two adjacent numbers is a perfect square.

Published on 31 Mar 2026 - 14:28

233

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Prove that 100...500...1 (100 zeros in each group) is not a perfect cube?

Published on 01 Mar 2015 - 9:10

1k

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Question regarding the square root of a squared number.

Published on 02 Apr 2026 - 4:55

3.3k

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Prove that $1989\mid n^{n^{n^{n}}} - n^{n^{n}}$

Published on 02 Mar 2015 - 10:46

148

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Find derivative of $x^{x^x}$

Published on 03 Mar 2015 - 13:58

List Question

Reasoning about $z^n = x^m + y^m$

Assuming $m \ge 3$, under what conditions is $z^{m-1} = \frac{x^m + y^m}{x + y}$?

Modular Congruence, Power

A question in powers

How to use the chain rule to differentiate

Modular Arithmetic with Multiple Exponents

Solving for $z^2 = x^2 -xy + y^2$

Inequality from Chapter 5 of the book How to Think Like a Mathematician

Differentiate $f(x) = exp_{a}(x) $ from first principles

Arranging numbers from $1$ to $n$ such that the sum of every two adjacent numbers is a perfect power

Arrangement of integers in a row such that the sum of every two adjacent numbers is a perfect square.

Prove that 100...500...1 (100 zeros in each group) is not a perfect cube?

Question regarding the square root of a squared number.

Prove that $1989\mid n^{n^{n^{n}}} - n^{n^{n}}$

Find derivative of $x^{x^x}$

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