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I knew equation= 2.2 and 2.2= 2+2
What operations have represented 2^2?

? = 2^2

3+3+3=9 ; 3.3.3=81 and continue is equation. what is representation for operations equation ? I assume to have a operation, it is called f. I have 3f3=equation ; 3^{3^3}=3.3.3 ; 3.3= 3+3+3; what is representation for operations f ?

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QChí Nguyễn
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    $3^2 - 5{}{}{}{}$ – Edward Evans Jul 07 '16 at 19:09
  • Maybe the link to this question can help you? http://math.stackexchange.com/questions/76156/who-introduced-the-notation-x2?rq=1 – Arc Neoepi Jul 07 '16 at 19:10
  • You need to learn to format your posts. Formatting tips [here](http://meta.math.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference). – Em. Jul 08 '16 at 05:32
  • May be it's the [tetration](https://en.wikipedia.org/wiki/Tetration) operation? Seems to me like the person is asking for $\text{plus}(\text{plus}(3,3),3)$ being multiplication, $\text{multiplication}(\text{multiplication}(3,3),3)$ being exponentiation and then moves on to asking what $\text{exponentiation}(\text{exponentiation}(3,3),3)$ is called. – Frenzy Li Jul 08 '16 at 05:36
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    Refer to [this question](http://math.stackexchange.com/questions/1849528/what-is-this-operator-called/1849531#1849531) – Frenzy Li Jul 08 '16 at 05:50

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I am not sure that I understand your question. The expression 2^2 is the same as $2^2$ and itmeans multiplying $2$ by itself $2$ times. So $$ 2^2 = 2\cdot 2 = 4. $$ Now it happens that $2$ plus $2$ is also equal to $4$. It is not true in general that $n^m = n + m$. For example $3^2 = 3\cdot 3 = 9$ and $3 + 3 = 6$.

Thomas
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  • Yes i want to ask if 3+3+3=9 ; 3.3.3=81 and continue is 3^3^3. what is representation for operations 3^3^3 ? I assume to have a operation, it is called f. I have 3f3=3^3^3 ; 3^3=3.3.3 ; 3.3= 3+3+3; what is representation for operations f ? – QChí Nguyễn Jul 08 '16 at 05:27
  • @QChíNguyễn Tetration. – Frenzy Li Jul 08 '16 at 05:46