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Yes. Anything that multiplies repeatedly like that is exponential, also sometimes referred to as geometric.
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Exponential relationship!
fundamental difference between a polynomial function and an exponential function?
"The" exponential function is ex. A more general exponential function is any function of the form AeBx, for any non-xero constants "A" and "B". Alternately, Any function of the form CDx (for constants "C" and "D") would also be considered an exponential function. You can change from one form to the other.