# What operations have represented 2^2? [closed]

I knew $2^2$= 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 $3^{3^3}$. 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 ?

## closed as unclear what you're asking by user223391, Zain Patel, pjs36, Emily, marwalixJul 7 '16 at 20:24

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• $3^2 - 5{}{}{}{}$ – ÍgjøgnumMeg Jul 7 '16 at 19:09
• Maybe the link to this question can help you? math.stackexchange.com/questions/76156/… – Arc Neoepi Jul 7 '16 at 19:10
• You need to learn to format your posts. Formatting tips here. – Em. Jul 8 '16 at 5:32
• May be it's the 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 8 '16 at 5:36
• Refer to this question – Frenzy Li Jul 8 '16 at 5:50

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 $3 + 3 = 6$.