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[Allen]

(12-29-2020 04:59 PM)Valentin Albillo Wrote:  Wrong. Yout code above does not compute correctly that tower of exponentials.
V.

Symbolically it does.

In python it's off by the trailing digit, but the same could be true of either implementation on different calculators with different accuracy.

Code:


pow(pow(pow(pow(2,1.8),1.6),1.4),1.2)
Out[124]: 28.609056210554545

pow(2,1.8*1.6*1.4*1.2)
Out[125]: 28.60905621055455

I would suggest that on a pocket calculator
\( 2^{1.8*1.6*1.4*1.2} \)
is the better approach since there is only 1 opportunity to cascade floating point errors, rather than the nested exponential which propagates any round-off error from the first EXP several times before arriving at the final result.