Rewrite the expression (2*2^(9/4))/2^(1/6) in the form 2^(a/b) where the exponent a/b is an abbreviated fraction.
(2*2^(9/4))/2^(1/6)
$$\dfrac{2*2^{9/4}}{2^{1/6}}=2^{1+9/4-1/6}=2^{37/12} \\\\$$
I have never heard the term abreviated fraction before - this is an improper fraction.