[tex]a)5^{-2}= \frac{1}{5^2}= \frac{1}{25}\to0.04 \\\\\\ b) 2^{-5}=\frac{1}{2^5}=\frac{1}{32} \to 0.03125 \\\\\\ c)3^{-4}=\frac{1}{3^4}=\frac{1}{81}\to0.01234 \\\\\\ d)(-1)^{-7}=\frac{1}{(-1)^7}\to-1[/tex]
[tex]e)(-7)^{-1}= \frac{1}{(-7)}\to-0.1428 \\\\\\ f)\frac{2}{3}^{-4}= \frac{1}{\frac{2^4}{3^4}}= \frac{81}{16} \to 5.0625 \\\\\\ g)(\frac{-1}{5})^{-3}= \frac{1}{\frac{(-1)^3}{5^3}}= \frac{125}{-1} \to -125[/tex]