a)
125^3 * 0,2^{-7}=(5^3)^3*(\frac{1}{5})^{-7}=5^9*5^7=5^{16}
b)
0,01 * 16 * 5^4=0,4^2*(5^2)^2=0,4^2*25^2=10^2
c)
2^4 * 9^2 * 36^{-5}=(2^2)^2*9^2*36^{-5}=36^2*36^{-5}=36^{-3}=(6^2)^{-3}=6^{-6}
d)
32^{-2}:[64^3*(\frac{1}{2})^{-3}]=(2^5)^{-2}:[(2^6)^3*2^3]=\frac{2^{-10}}{2^{21}}=2^{-31}
e)
2/3^(-3) * 27/8^(-3) * 1,5
(\frac{3}{2})^{3}*(\frac{3^3}{2^3})^{-3}*\frac{15}{10}=(\frac{3}{2})^3*(\frac{3}{2})^{3*(-3)}*\frac{3}{2}=\frac{3}{2}^4*(\frac{3}{2})^{-9}=(\frac{3}{2})^5