a) $(-\frac{2}{3})^{3}\times (-\frac{2}{3})^{2}= (-\frac{2}{3})^{5}=\frac{-32}{243}$
b) $(0.15)^{7}/(0.15)^{5}= (0.15)^{2}=0.0225$
c) $(\frac{3}{5})^{15}/(\frac{27}{125})^{5}= (\frac{3}{5})^{15}/(\frac{3}{5})^{15}=1$
d) $(\frac{1}{7})^{4}\times \frac{1}{7}\times 49^{3}=(\frac{1}{7})^{4}\times\frac{1}{7}\times7^{6}=7$