a) $(\frac{5}{13}^{4}$ $\times$ $\frac{5}{26}$ $\times$ $\frac{10}{13}$ = $(\frac{5}{13}^{4}$ $\times$ $\frac{5}{13 \times 2}$ $\times$ $\frac{5 \times 2}{13}$ = $(\frac{5}{13}^{4}$ $\times$ $\frac{5}{13}$ $\times$ $\frac{5}{13}$ = $(\frac{5}{13})^{6}$;
b) $(\frac{-3}{4}^{4}$ $\times$ $(0.75)^{3}$ = $(\frac{3}{4}^{4}$ $\times$ $(0.75)^{3}$ = $(0.75)^{4}$ $\times$ $(0.75)^{3}$ = $(0.75)^{7}$;
c) $(-0.36)^{3}$ / $\frac{-25}{9}$ = $(\frac{-9}{25}^{3}$ $\times$ $\frac{-9}{25}$ = $(\frac{-9}{25}^{4}$ = $(\frac{9}{25}^{4}$ = $[(\frac{3}{5})^{2}]^{4}$ = $(\frac{3}{5})^{8}$;
d) 4 $\times$ 2 / ($2^{3}$ $\times$ $\frac{1}{16}$) = $2^{2}$ $\times$ 2 / $\frac{2^{3}}{16}$ = $2^{2}$ $\times$ 2 $\times$ $\frac{2^{4}}{2^{3}}$ = $2^{2}$ $\times$ 2 $\times$ 2 = $2^{4}$.