a) $9^5:{\left(-3\right)}^5={\left(9:\left(-3\right)\right)}^5={\left(-2\right)}^5=-243$  

b)  ${22}^9:{\left(-11\right)}^9={\left(22:\left(-11\right)\right)}^9={\left(-2\right)}^9=-512$  

c)  $\frac{{0,25}^4}{{0,05}^4}={\left(\frac{0,25}{0,05}\right)}^4={\left(\frac{25}{5}\right)}^4=5^4=625$  

d) ${\left(-51,5\right)}^3:{\left(10,3\right)}^3={\left(-51,5:10,3\right)}^3={\left(-515:103\right)}^3={\left(-5\right)}^3=-125$   

e)  ${\left(-3,4\right)}^{15}:{\left(3\frac{2}{5}\right)}^{15}={\left(-3,4:3\frac{2}{5}\right)}^{15}={\left(-3,4:3,4\right)}^{15}={\left(-1\right)}^{15}=-1$  

f)  ${0,06}^3:{\left(-0,01\right)}^3={\left(0,06:\left(-0,01\right)\right)}^3={\left(6:\left(-1\right)\right)}^3={\left(-6\right)}^3=-216$