why do whole number raised to an exponent get larger, while fractions raised to an exponent get smaller?
Not all fractions ger smaller.....only those between 0 and 1
For example (1/4)^2 = 1/16 ....but.... (3/2)^2 = 9/4 ... And 3/2 = 1.5 but 9/4 = 2.25....so....this gets larger
[This also assumes that the exponents are positive integers ]