First do the Whole number exponents (0,1,2,3,4,5),
then negative integer exponents (-1,-2,-3),
then rational exponents (½,⅓,5/2)
then irrational exponents (√2,e,π).
b>0 → bx>0
Going down are increasing exponents, so strictly increasing values going down.
Going across are increasing bases, so strictly increasing values going across
(except for negative exponents, reversed).
Rational exponent:
bn/d = d√(bn) = (d√b)n
Ex. b5/2 = √(b5) = (√b)5
Ex. b5/3 = ∛(b5) = (∛b)5