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3^3^3^3 + 4

 Sep 2, 2023
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Strictly speaking, an exponent tower is one of the few operations in mathematics that is evaluated from the "top" of the tower to the "bottom" of the tower. Unfortunately, this number is too large to write down. Although, we can attempt to write an approximation.

 

\({{3^3}^3}^3 = {3^3}^{27} = 3^{7\;625\;597\;484\;987} \approx {10^{10}}^{12.5609}\). The exponent is too large, so this number cannot be written down realistically. This number has about one trillion digits, which is far too many.

 Sep 3, 2023

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