[tex]\frac{2^{16}\cdot5^8}{2^5\cdot(5^2)^3}:\frac{2^3}{5^6}=\frac{2^{16}\cdot5^8}{2^5\cdot5^6}\cdot\frac{5^6}{2^3}=\frac{2^{16}\cdot5^8}{2^8}=2^8\cdot5^8=(2\cdot 5)^8=10^8[/tex]