Indices Notation: Equivalent Notation to Sigma & Pi

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The discussion centers on finding a notation equivalent to Sigma and Capital Pi for exponentiation. Participants explore the possibility of a notation that could succinctly represent the expression x1^x2^x3^...^xn. A suggested notation, $$\Xi_{i=1}^n x_i = x_1^{x_2^{x_3^{\cdots x_n}}}$$, is proposed but ultimately deemed inadequate. The consensus indicates that no widely accepted notation currently exists for this purpose. The conversation highlights the complexity of representing exponentiation in a similar manner to summation and multiplication.
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Is there an equivalent notation to Capital Pi notation (multiplier) and Sigma notation (summer) for raising to the power?

e.g. x1^x2^x3^x4...^xn=Notation(i=1 to i=n)(xi)

Where "Notation" represents the symbol in question (analogous to Sigma for sums, Capital Pi for multiplication)?
 
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You mean something like:
$$\Xi_{i=1}^n x_i = x_1^{x_2^{x_3^{\cdots x_n}}}$$ ... no.
 

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