$a){\left(7^2\right)}^4=7^{2\cdot 4}=7^8$  

${\left({\left(-4\right)}^3\right)}^5={\left(-4\right)}^{3\cdot 5}={\left(-4\right)}^{15}$  

${\left({\left(-\frac{3}{4}\right)}^5\right)}^2={\left(-\frac{3}{4}\right)}^{5\cdot 2}={\left(-\frac{3}{4}\right)}^{10}$  

 

$b){\left(6^2\right)}^{-9}=6^{2\cdot \left(-9\right)}=6^{-18}$  

${\left({\left(-1,2\right)}^{-1}\right)}^9={\left(-1,2\right)}^{-1\cdot 9}={\left(-1,2\right)}^{-9}$  

${\left({\left(-\frac{2}{7}\right)}^8\right)}^{-1}={\left(-\frac{2}{7}\right)}^{8\cdot \left(-1\right)}={\left(-\frac{2}{7}\right)}^{-8}$  

 

$c){\left(3^{11}\right)}^0=3^{11\cdot 0}=3^0$  

${\left({\left(7^2\right)}^{-3}\right)}^{-2}=7^{2\cdot \left(-3\right)\cdot \left(-2\right)}=7^{12}$  

${\left({0,1}^{-1}\right)}^{-10}={0,1}^{-1\cdot \left(-10\right)}={0,1}^{10}$