Perform the Indicated Operations $\frac{5^{-3} \cdot 5^{-5}}{5^{-2} \cdot 5^{-1}}$ (B) $(x+4)^{2 / 5}(x+4)^{-9 / 10}$

Short Answer

Perform the indicated operations. Write your answers with only positive exponents. Assume that all variables represent positive real numbers.
(a) $\frac{5^{-3} \cdot 5^{-5}}{5^{-2} \cdot 5^{-1}}$
(b) $(x+4)^{2 / 5}(x+4)^{-9 / 10}$
(c) $\left(2 u^{2} v^{-1 / 2}\right)^{4}\left(4 u^{10} v^{3}\right)^{-1 / 2}$