List questions from exponentiation

Published on 06 Feb 2019 - 19:06

72

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Prove that $ (\frac{\sum_{i=1}^n x_i}{n})^{\sum_{i=1}^n x_i} \le \prod_{i=1}^n {x_i}^{x_i}$ $, \forall x_i>0, n\ge1 $

Published on 25 Mar 2026 - 4:59

142

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Sum of Sine and Cosine to Higher Powers Is Constant (Recursion, Proofs)

Published on 10 Feb 2019 - 7:06

1.3k

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Do powers of 256 all end by 6 and if so, how to prove it?

Published on 10 Feb 2019 - 12:10

63

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Properties of logarithms and exponents

Published on 12 Feb 2019 - 4:18

685

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Find $A^5-4A^4+7A^3+11A^2-A-10I$

Published on 12 Feb 2019 - 10:38

256

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If $2^{k+1} = 2 \cdot 2^k$ what does $2^{k-1}$ equal?

Published on 13 Feb 2019 - 17:37

131

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Matrix for recurrence relation

Published on 14 Feb 2019 - 8:21

131

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Nice power sum inequality $ab(a-b)\leq a^{ab}-b^{ab}$ for $a+b=2$

Published on 15 Feb 2019 - 15:06

138

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How do I isolate $k$ in the following equation?

Published on 18 Feb 2019 - 18:51

703

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Method for finding a sequence's limit

Published on 18 Feb 2019 - 18:54

33

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multiplication with exponentials

Published on 18 Feb 2019 - 22:57

34

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Find the least possible n for the power

Published on 24 Mar 2026 - 22:01

73

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Why is $0.5^x + 0.5^x = 0.5^{x-1} $

Published on 23 Feb 2019 - 16:37

39

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System of $3$ (nonlinear) equations

Published on 25 Feb 2019 - 19:17

List Question

Modular Exponentiation Speedup

Prove that $ (\frac{\sum_{i=1}^n x_i}{n})^{\sum_{i=1}^n x_i} \le \prod_{i=1}^n {x_i}^{x_i}$ $, \forall x_i>0, n\ge1 $

Sum of Sine and Cosine to Higher Powers Is Constant (Recursion, Proofs)

Do powers of 256 all end by 6 and if so, how to prove it?

Properties of logarithms and exponents

Find $A^5-4A^4+7A^3+11A^2-A-10I$

If $2^{k+1} = 2 \cdot 2^k$ what does $2^{k-1}$ equal?

Matrix for recurrence relation

Nice power sum inequality $ab(a-b)\leq a^{ab}-b^{ab}$ for $a+b=2$

How do I isolate $k$ in the following equation?

Method for finding a sequence's limit

multiplication with exponentials

Find the least possible n for the power

Why is $0.5^x + 0.5^x = 0.5^{x-1} $

System of $3$ (nonlinear) equations

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