List questions from exponentiation

Published on 24 Mar 2020 - 8:33

128

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If $A^{1/A}=B^{1/B}=C^{1/C}$, $A^{BC}+B^{AC}+C^{AB}=768$. What is the value of $A^{1/A}$?

Published on 26 Mar 2020 - 11:10

161

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Even roots and exponents power rule

Published on 26 Mar 2020 - 11:13

116

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Can exponentiation be seen as a group morphism?

Published on 26 Mar 2020 - 22:42

93

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Sharp inequality $\pi^{-e}-e^{-\pi}> \frac{e^{\frac{1}{e}-e-\pi}}{\pi}$

Published on 27 Mar 2026 - 17:51

72

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Integral inequality$\int_{0}^{e}\operatorname{W^{2^{-n}}(x)}\leq \int_{0}^{e}\operatorname{sin^{2^{-n}}(x)}$

Published on 25 Mar 2026 - 20:36

36

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How do I evaluate this summation series?

Published on 25 Mar 2026 - 9:31

60

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Hard integral $\int_{0}^{e}n^{\operatorname{W^n(x)}}dx=?$

Published on 25 Mar 2026 - 20:42

103

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Finding $\sqrt[4x]{x}$ assuming $x^{-81^{81^{-x}}}=81$

Published on 30 Mar 2020 - 21:33

48

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Simplify $\left(\frac{1}{4}\right)^{k}\left(\frac{3}{4}\right)^{3-k} = \frac{3^{3-k}}{64}$

Published on 29 Mar 2026 - 22:31

31

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When it comes to the laws of powers, is there a specific order?

Published on 01 Apr 2020 - 12:39

78

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Let a, b, c, d be odd integers(CLOSED)

Published on 01 Apr 2020 - 13:19

24

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Do modular rules apply for repeated exponents

Published on 01 Apr 2020 - 15:45

62

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Is $-x^4 = (-x)(-x)(-x)(-x)$ or $-(x^4)$?

Published on 02 Apr 2020 - 1:57

78

Views

Prove $x^{\frac{n(n-1)}{2}}y^{\frac{n(n-1)}{2}}(x^{n}+y^{n})\leq2$

Published on 03 Apr 2020 - 14:26

List Question

Functions and exponents

If $A^{1/A}=B^{1/B}=C^{1/C}$, $A^{BC}+B^{AC}+C^{AB}=768$. What is the value of $A^{1/A}$?

Even roots and exponents power rule

Can exponentiation be seen as a group morphism?

Sharp inequality $\pi^{-e}-e^{-\pi}> \frac{e^{\frac{1}{e}-e-\pi}}{\pi}$

Integral inequality$\int_{0}^{e}\operatorname{W^{2^{-n}}(x)}\leq \int_{0}^{e}\operatorname{sin^{2^{-n}}(x)}$

How do I evaluate this summation series?

Hard integral $\int_{0}^{e}n^{\operatorname{W^n(x)}}dx=?$

Finding $\sqrt[4x]{x}$ assuming $x^{-81^{81^{-x}}}=81$

Simplify $\left(\frac{1}{4}\right)^{k}\left(\frac{3}{4}\right)^{3-k} = \frac{3^{3-k}}{64}$

When it comes to the laws of powers, is there a specific order?

Let a, b, c, d be odd integers(CLOSED)

Do modular rules apply for repeated exponents

Is $-x^4 = (-x)(-x)(-x)(-x)$ or $-(x^4)$?

Prove $x^{\frac{n(n-1)}{2}}y^{\frac{n(n-1)}{2}}(x^{n}+y^{n})\leq2$

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