Exactly. One model I like is e^x represents 100% interest, perfectly compounded for x units of time. a^b is really just e^[ln(a) * b]. Then you can think about

Exactly. One model I like is e^x represents 100% interest, perfectly compounded for x units of time. a^b is really just e^[ln(a) * b]. Then you can think about "ln(a) * b" being the interest earned scaled by time.