a)
4^{-3}=(\frac{1}{4})^3=\frac{1}{64}
b)
3^{-4}=(\frac{1}{3})^4-\frac{1}{81}
c)
(-\frac{1}{2})^{-3}=(-2)^3=-8
d)
(\frac{3}{4})^{-2}=(\frac{4}{3})^2=\frac{16}{9}=1\frac{7}{9}
e)
\frac{2^3*2^4}{2^5}=\frac{2^7}{2^5}=2^{7-5}=2^2=4
f)
\frac{5^4*5^{-2}}{5^3}=\frac{5^2}{5^3}=5^{2-3}=5^{-1}=\frac{1}{5}
g)
\frac{3^6*9}{3^5}=\frac{3^6*3^2}{3^5}=\frac{3^8}{3^5}=3^3=27
h)
\frac{6^4 * 36^{-1}}{6^{-1}}=\frac{6^4*(6^2)^{-1}}{6^{-1}}=\frac{6^{4+(-2)}}{6^{-1}}=\frac{6^2}{6^{-1}}=6^{2-(-1)}=6^3=216