jmc

Evaluate the factors separately: $64^{1/2}=(8^2{)}^{1/2}=8$, while $27^{-1/3}=\frac{1}{(3^3{)}^{1/3}}=\frac{1}{3}$, and $16^{1/4}=(2^4{)}^{1/4}=2$. Multiply the simplified factors together to obtain the answer of $\boxed{\frac{16}{3}}$.