$\text{a)}{2}^5:\left(2^3\cdot 2^0\right)=2^5:2^{3+0}=2^5:2^3=2^{5-3}=2^2=4$  

$\text{b)}{\left(2^8:2^7\right)}^3={\left(2^{8-7}\right)}^3={\left(2^1\right)}^3=2^{1\cdot 3}=2^3=8$   

$\text{c)}\frac{{\left(2^6\right)}^3}{2^{15}}=\frac{2^{6\cdot 3}}{2^{15}}=\frac{2^{18}}{2^{15}}=2^{18-15}=2^3=8$     

$\text{d)}{\left(2^7\right)}^3:{\left(2^4\right)}^5=2^{7\cdot 3}:2^{4\cdot 5}=2^{21}:2^{20}=2^{21-20}=2^1=2$

$\text{e)}{\left(2^4\right)}^6:\left(2^{13}\cdot 2^7\right)=2^{24}:2^{20}=2^4=16$  

$\text{f)}\left(2^{11}:2^3\right):{\left(2^4\right)}^2=2^8:2^8=2^0=1$   

$\text{g)}{\left(2^3\cdot 2^2\right)}^3:2^{12}={\left(2^5\right)}^3:2^{12}=2^{15}:2^{12}=2^3=8$

$\text{h)}{\left(2^5:2^3\right)}^6:2^{10}={\left(2^2\right)}^6:2^{10}=2^{12}:2^{10}=2^2$