Perform the Indicated Operations $\frac{2^{-4} \cdot 2^{-3}}{2^{-1}}$ (B) $(x+1)^{-1 / 2}(x+1)^{-3 / 4}$

Essay

Perform the indicated operations. Write your answers with only positive exponents. Assume that all variables represent positive real numbers.
(a) $\frac{2^{-4} \cdot 2^{-3}}{2^{-1}}$
(b) $(x+1)^{-1 / 2}(x+1)^{-3 / 4}$
(c) $\left(m^{-2} n^{1 / 2}\right)^{3}\left(9 m n^{-3}\right)^{-1 / 2}$