Serial, Continuous, Infinite, Super, Iterated Exponents | Hyper Power | Exponent (Power) Tower Trick
A continuous exponential is an expression in which each succeeding number is used as exponent of preceding number. In the continued exponential, the succeeding numbers are called exponents. We will restrict ourselves to non zero positive integers only, so that none of the exponentials considered later is negative or complex. This is very useful rule of exponent which is often used to solve difficult problems. If exponentiation is indicated by stacked symbols using superscript notation, the usual rule is to work from the top down. An ambiguity exists in the case of serial exponentiation, whether it should be started from base to exponent or from exponent to base. The top-to-bottom operation convention would resolve the ambiguity in favor of the last expression. Further, the mathematical habit of combining exponent greatly reduce the frequency of ambiguous exponentiation.
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