Question 794181
Use the property
(1) {{{(a^j)/(a^k) = a^(j-k)}}}
and for your example j = 1/2 and k = 3 to get
(2) {{{(a^(1/2))/(a^3) = a^(1/2 - 3)}}} or
(3) {{{(a^(1/2))/(a^3) = a^(-5/2)}}} from which we see that you get
(4) m = -5/2
Answer: m = -5/2