A5. The value of the expression $9^{\frac{3}{2}} \cdot 8^{-\frac{1}{3}}-\sqrt{16^{\frac{5}{4}}-7}$ is equal to:
(A) 0
(B) $-\frac{17}{2}$
(C) $\frac{27}{2}-4 \sqrt{2}$
(D) $\frac{17}{2}$
(E) 31
A5. We simplify the expression $9^{\frac{3}{2}} \cdot 8^{-\frac{1}{3}}-\sqrt{16^{\frac{5}{4}}-7}=3^{3} \cdot 2^{-1}-\sqrt{2^{5}-7}=\frac{27}{2}-\sqrt{32-7}=\frac{17}{2}$.